AI Gcf Solver

GCF of numbers or polynomials. Step-by-step.

Find the greatest common factor of any numbers or polynomial terms step-by-step on AskSia. Choose the prime factorization method or the Euclidean algorithm, and see the GCF used to factor polynomials or reduce fractions to lowest terms.

Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
Quick Answer

What is the AskSia GCF solver?

The AskSia GCF solver is an AI tool that finds the greatest common factor (GCF) of two or more integers, or of two or more polynomial terms. For integers, AskSia uses the prime factorization method (factor each number, take the lowest power of each prime that appears in all factorizations) or the Euclidean algorithm (repeated division until the remainder is zero). For polynomial terms, AskSia finds the GCF of the numeric coefficients and the lowest power of each variable that appears in every term. Useful for factoring, simplifying fractions, and number theory.

98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver

GCF, the right method for the numbers.

Prime factorization is clear for small numbers. The Euclidean algorithm is fast for large numbers. AskSia picks the right one and shows the work, so you can apply it on your next problem.

Prime factorization method

Factor each number into primes, then take the lowest power of each prime that appears in all factorizations. For GCF(24, 60): 24 = 2³ × 3, 60 = 2² × 3 × 5, so GCF = 2² × 3 = 12. AskSia shows the prime factorizations on a factor tree.

Factor tree shown

Euclidean algorithm for large numbers

For large numbers where prime factorization is tedious, AskSia uses the Euclidean algorithm: repeatedly divide and take the remainder until the remainder is zero. The last nonzero remainder is the GCF. Useful for AP and college-level problems.

Euclidean fast

GCF of polynomial terms

For polynomial terms like 12x³y² and 18x²y⁴, AskSia finds the numeric GCF (6) and the lowest power of each variable that appears in both (x² and y²), giving 6x²y². Useful as the first step in factoring.

Polynomial GCF

Factoring a polynomial by GCF

Once the GCF of all terms is found, AskSia factors it out and writes the polynomial as GCF times the remaining factor. For 12x³ + 18x², the GCF is 6x², and the factored form is 6x²(2x + 3).

Factor extraction

Reducing fractions to lowest terms

Fractions are reduced by dividing both numerator and denominator by their GCF. AskSia handles 48/72 by finding GCF(48, 72) = 24, then reducing to 2/3.

Fraction reduction

Three or more numbers

GCF works for any number of integers or polynomial terms. AskSia handles GCF(36, 60, 84) by including all three in the prime factorization step, taking the lowest power of each prime across all three.

Multi-term GCF
How It Works

Three taps to a found GCF.

Step 01

Capture the numbers or terms

Snap a photo, paste, or type the integers or polynomial terms. AskSia accepts any number of inputs separated by commas or spaces.

Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02

Pick the method, or let Sia pick

AskSia picks prime factorization for small numbers and the Euclidean algorithm for large numbers. For polynomial terms, AskSia uses the combined numeric and variable-power method.

Calculus · Step 4 of 4
1.4s
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03

See the GCF and the work

The GCF is shown, with the prime factorizations or Euclidean steps displayed. If the input was polynomial, AskSia also shows the factored form with the GCF pulled out.

Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On

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Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.

Web App

Full study studio

Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.

Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App

Snap & solve, anywhere

Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.

One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases

Every GCF use case, covered.

📐

Pre-Algebra GCF basics

First-time GCF problems with small positive integers. AskSia draws factor trees for each number and identifies the common primes clearly.

Pre-Algebra
⚛️

Reducing fractions

To reduce a fraction to lowest terms, find the GCF of numerator and denominator and divide both by it. AskSia handles both the GCF step and the division.

Fraction reduction
🧪

Factoring polynomials by GCF

The first step in factoring is always to pull out the GCF of all terms. AskSia identifies the GCF and writes the polynomial in factored form.

Polynomial factoring
🧬

Euclidean algorithm for large numbers

When the numbers are too large for easy prime factorization, AskSia uses the Euclidean algorithm: repeated division until the remainder is zero. Common in AP and college number theory.

Large numbers
💻

Three or more numbers or terms

GCF of three or more integers, or of three or more polynomial terms. AskSia handles arbitrarily many inputs and shows the prime factorization for all of them.

Multi-input
🎯

Number theory and CS basics

The Euclidean algorithm for GCF is the foundation for modular arithmetic and intro number theory in discrete math and CS. AskSia explains the algorithm's correctness alongside the steps.

Number theory
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AskSia vs. ChatGPT,
Photomath & Symbolab.

General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.

Feature comparison between AskSia Solver and alternatives
FeatureAskSia SolverChatGPTPhoto Solvers
Solution accuracy✓ 98%~70-85%, hallucinations~90%, math only
Auto-generated diagrams✓ Every solveInconsistent / brokenGraphs only, math-only
Step-by-step explanations✓ Numbered + plain EnglishInconsistent depth✓ Math steps
Subject coverage✓ Math, Physics, Chem, Bio, CS, Econ✓ Wide but unverifiedMath only
Photo input✓ Handwriting + diagrams + codePhotos OK, weak on handwriting✓ Math photos only
Answer verification✓ Self-checked before displayNo verificationMath engine only
Tutor follow-ups✓ Hints, alt methods, ELI5✓ General chatNot available
Practice and flashcards✓ One-tap from any solveManual promptingNot available
Code debugging✓ Python, Java, C++, SQL...✓ YesNot available
Free to start✓ Daily solves, no cardLimited model accessSteps locked behind paywall
FAQ

Frequently asked questions.

How does AskSia find the GCF of two numbers?
AskSia uses one of two methods depending on the size of the numbers. For small numbers (under a few hundred), AskSia finds the prime factorization of each number, then takes the lowest power of each prime that appears in all factorizations. For example, GCF(24, 60): 24 = 2³ × 3, 60 = 2² × 3 × 5, and the GCF is 2² × 3 = 12. For larger numbers, AskSia switches to the Euclidean algorithm: divide the larger by the smaller, then divide the smaller by the remainder, and repeat until the remainder is zero. The last nonzero remainder is the GCF.
How does AskSia find the GCF of polynomial terms?
For polynomial terms, the GCF has two parts: the GCF of the numeric coefficients and the lowest power of each variable that appears in every term. For 12x³y² and 18x²y⁴, the numeric GCF is GCF(12, 18) = 6, and the variable parts are x² (the lowest power of x) and y² (the lowest power of y). Combined, the GCF is 6x²y². Once the GCF is found, the polynomial can be factored: 12x³y² + 18x²y⁴ = 6x²y²(2x + 3y²). AskSia shows both the GCF step and the factored form.
What is the Euclidean algorithm and when does AskSia use it?
The Euclidean algorithm is a fast method for finding the GCF of two integers, especially when they are large. It works by repeated division: divide the larger number by the smaller, replace the larger with the smaller and the smaller with the remainder, and repeat until the remainder is zero. The last nonzero remainder is the GCF. For example, GCF(252, 105): 252 = 2 × 105 + 42; 105 = 2 × 42 + 21; 42 = 2 × 21 + 0. The GCF is 21. AskSia uses the Euclidean algorithm when prime factorization would be tedious.
How is the GCF used to factor polynomials?
Factoring a polynomial almost always starts by pulling out the GCF of all terms. For 12x³ + 18x², the GCF is 6x², and the factored form is 6x²(2x + 3). For more complex polynomials, factoring out the GCF first simplifies the remaining expression, which can then often be factored further (by grouping, difference of squares, or other methods). AskSia handles the GCF step and then continues factoring if more methods apply, so you get the fully factored form.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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GCF of numbers or polynomials. Found, with the work.

Join 2M+ students using AskSia to find the greatest common factor of any numbers or polynomial terms, with prime factorization or the Euclidean algorithm shown step-by-step.

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