Are GCF, GCD and HCF the same?

Yes. Greatest common factor, greatest common divisor and highest common factor are different names for the same value.

What is the GCF of 48 and 72?

The GCF is 24 because it is the largest whole number that divides both values.

How does GCF simplify a fraction?

Divide both the numerator and denominator by their GCF to reduce the fraction to lowest terms.

Math Calculators

GCF Calculator

Find the greatest common factor of two or more whole numbers.

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Whole numbers

Separate two or more numbers with commas or spaces.

Greatest common factor

About the GCF Calculator

The greatest common factor is the largest whole number that divides every number in a set without a remainder. It is also called the greatest common divisor or GCD.

GCF is commonly used to reduce fractions, factor expressions and split quantities into the largest equal groups.

This calculator accepts two or more whole numbers and applies the efficient Euclidean algorithm repeatedly across the list.

Key features

Also calculates GCD
Two or more whole numbers
Handles positive and negative integers
Efficient Euclidean algorithm

How to use

1Enter at least two whole numbers.
2Separate the values with commas or spaces.
3Read the greatest common factor.

Examples

GCF of two numbers

Input: 12 and 18

Output: 6

6 is the largest number that divides both 12 and 18.

Frequently asked questions

Are GCF, GCD and HCF the same?: Yes. Greatest common factor, greatest common divisor and highest common factor are different names for the same value.
What is the GCF of 48 and 72?: The GCF is 24 because it is the largest whole number that divides both values.
How does GCF simplify a fraction?: Divide both the numerator and denominator by their GCF to reduce the fraction to lowest terms.

Open a related tool to prepare your files or refine the finished result.