GCF (Greatest Common Factor)

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 GCF (Greatest Common Factor) of 18 and 60.

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

Find the GCF (Greatest Common Factor) of 6(a^3)c and 2(a^2)b(c^2).

Write the factors of 6a3c and 2a2bc2 like this.

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

Then the GCF is
the product of the common factors:
2⋅aac.