what's the greatest common factor of 42 and 27

Mathematics · High School · Tue Nov 03 2020

Answered on

Given:

42 and 27

Determine their greatest common factor (GCF)

Solution:

In order to determine the greatest common factor of two numbers, simply list all the factors of the number and take out which factors are common and determine which is the greatest.

Factors of 42:

1, 2, 3, 6, 7, 8, 14, 21, 42

Factors of 27

1, 3, 9 , 27

Since it can be seen that only common factor is 1 and 3, and we know that 3 is greater than 1 therefore,

The Greatest Common Factor of 42 and 27 is 3.