Find the greatest common factor of 120 and 72.

The greatest common factor of 120 and 72 is 24

Solution:

Given that we have to find the greatest common factor of 120 and 72

Let us first understand about greatest common factor

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

Greatest common factor of 120 and 72:

First find the factors of 120 and 72

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

On observing the above factors list of 120 and 72, we find that 24 is the greatest common factor in both the list

Thus the GCF of 120 and 72 is 24