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