What is the greatest common factor (GCF) of 27 and 36?

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the two numbers 27 and 36.

In order to find their Greatest Common Factor (GCF), the listing method can be done. To carry on with the listing method, simply write the numbers that can be multiplied in order to have a product of 27 and 36, then search for the common numbers, and determine which one are the greatest among them.

Listing Method:

A.) 27

Factors: 1, 3, 9, 27

B.) 36 

Factors: 1, 2, 3, 4, 6, 9, 12, 36

Common Factors: 1, 3, 9

Greatest Common Factor: 9