🔗 GCF Calculator
Find the greatest common factor (GCF) of two or more numbers using the Euclidean algorithm.
What Is the Greatest Common Factor?
The greatest common factor (GCF), also called greatest common divisor (GCD), is the largest positive integer that divides each of the given numbers without a remainder. For example, GCF(12, 18) = 6.
The Euclidean Algorithm
The Euclidean algorithm finds the GCF efficiently by repeatedly replacing the larger number with the remainder of dividing the two numbers. For GCF(48, 18): 48 = 2×18 + 12, then 18 = 1×12 + 6, then 12 = 2×6 + 0. So GCF = 6. This method is very efficient even for large numbers.
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