When to Use GCF
The Greatest Common Factor is commonly used to simplify fractions, reduce ratios, and break numbers into equal groups. It is also a core part of the Euclidean algorithm, one of the fastest methods for finding shared divisors.
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GCF Calculator
Find the Greatest Common Factor of any two numbers, with step-by-step working using the Euclidean algorithm.
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Common Questions
What is the quickest way to find GCF of two numbers?+
Use the Euclidean algorithm, which repeatedly takes remainders until zero; the last non-zero remainder is the GCF.
Is GCF the same as GCD or HCF?+
Yes. GCF, GCD, and HCF are different names for the same concept.
Why is GCF useful for fractions?+
Dividing numerator and denominator by their GCF reduces fractions to simplest form.
Can GCF be 1?+
Yes. If two numbers share no larger common divisor, they are coprime and their GCF is 1.