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Our online tools will provide quick answers to your calculation and conversion needs. On this page, you can calculate greatest common factor (gcf), also known as highest common factor (hcf) or greatest common divisor (gcd) of upto 10 numbers.

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**How to:** Visit this page to learn how to find gcf of two numbers using prime factorization with step by step instruction.

In mathematics, GCF or HCF or GCD of two or more numbers is the largest positive integer that divides the numbers without a remainder.

**Formula**: We use the Euclidean algorithm to calculate the gcf,

gcf(a,a) = a;

gcf(a,b) = gcf(a-b,a), if a>b

gcf(a,b) = gcf(a,b-a), if b>a

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