What is the greatest common factor of 8m, 36m³, and 12?

Solution:

The greatest common factor is the greatest factor of two or more expressions

The common factors can be identified by factorising the numbers.

In order to determine the GCF, multiply the common factors

8m = 2 × 2 × 2 × m

36m³ = 2 × 2 × 3 × 3 × m × m × m

12 = 2 × 2 × 3

Here the common factors are 2 and 2

Product = 2 × 2 = 4

So the GCF is 4

Therefore, the greatest common factor is 4.

What is the greatest common factor of 8m, 36m³, and 12?

Summary:

The greatest common factor of 8m, 36m³, and 12 is 4.