Find the Greatest Common Factor (GCF) — also called HCF or GCD — of two or more numbers with prime factorization.
A GCF Calculator finds the Greatest Common Factor of two or more numbers, meaning the largest number that divides evenly into all of them.
The tool uses the Euclidean algorithm, repeatedly dividing and taking remainders, or compares prime factorizations to find the largest shared factor.
Enter two or more numbers separated by commas. Click Calculate. The tool displays the GCF along with the factor breakdown.
Example 1: The GCF of 12 and 18 is 6.
Example 2: The GCF of 24, 36, and 60 is 12.
Example 3: The GCF of 7 and 13 is 1, since they share no common factors besides 1.
Simplifying fractions to their lowest terms. Dividing items into the largest possible equal groups. Solving algebra factoring problems. Finding common measurements in construction or design.
What does it mean if the GCF is 1. It means the numbers are coprime, sharing no common factors besides 1.
Can GCF be calculated for more than two numbers. Yes, this tool supports multiple numbers at once.
Is GCF always smaller than the input numbers. Yes, except when one number divides another evenly.
How is GCF used to simplify fractions. Dividing numerator and denominator by their GCF reduces the fraction fully.
What is the fastest way to find GCF. The Euclidean algorithm is generally fastest for large numbers.