# GCF (Greatest Common Factor)

How to find the GCF (greatest common factor) of the given numbers or the given terms: examples and their solutions.

## Example 1

Find the prime factorization of 18 and 60.

Write the factors of 18 and 60 like this.

The common factors are 2 and 3.

Then the GCF is

the product of the common factors:

2⋅3.

## Example 2

Write the factors of 6*a*^{3}*c* and 2*a*^{2}*b**c*^{2} like this.

The common factors are 2, *a*, *a*, and *c*.

Then the GCF is

the product of the common factors:

2⋅*a*⋅*a*⋅*c*.