Greatest Common Factor Calculator
Find the greatest common factor, also called GCF or GCD, of two or more positive whole numbers.
Greatest Common Factor Calculator
Enter two or more positive whole numbers separated by commas, spaces, or semicolons.
How it works
Formula and steps
The formula shows how the greatest common factor calculator turns your inputs into the result. Use it to check the calculation, then follow the example steps to see each part of the math.
Formula & steps
Greatest common factor formula
GCF = greatest number that divides each input
Use this to find the largest whole number shared by all inputs.
GCF= Greatest common factorinput= One of the numbers being compareddivides= Goes into a number with no remainder- 1Enter two or more positive whole numbers.
- 2Find the factors or prime factors of each number.
- 3Keep only factors shared by every input.
- 4Multiply the shared factors to get the greatest common factor.
Worked examples
The greatest common factor of 48 and 180 is 12.
The greatest common factor of 24, 36, and 60 is 12.
Common uses
- GCF calculator
- Greatest common factor calculator
- GCD calculator
- Common factor calculator
- Highest common factor
Common mistakes
- Confusing greatest common factor with least common multiple.
- Choosing a common factor that is not the greatest one.
- Expecting algebraic expression factoring when this calculator supports numbers only.
GCF guide
How to find the greatest common factor
The greatest common factor, or GCF, is the largest positive whole number that divides every entered number. It is also called the greatest common divisor, GCD, or highest common factor.
GCF calculator
Enter two or more positive whole numbers. The calculator compares common factors and returns the greatest one with calculation steps.
GCF vs LCM
GCF finds the largest factor shared by the inputs. LCM finds the smallest positive multiple shared by the inputs.
GCF calculator names
People also search for this as a GCF calculator, GCD calculator, greatest common divisor calculator, highest common factor calculator, or common factor calculator. These names usually refer to the same number: the largest whole number that divides every input.
FAQ
The greatest common factor is the largest positive whole number that divides each input without a remainder.
Yes. Greatest common factor and greatest common divisor are usually two names for the same result.
Yes. Highest common factor and greatest common factor mean the same thing.
No. This calculator supports positive whole numbers only. It does not factor algebraic expressions, monomials, or polynomials.
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