Question

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

4
8
4m
8m

Answer 1

Hello,
the gcd is 4 .

Answer 2

The greatest common factor is exactly as it sounds: the greatest factors of two or more expressions.

Factorize the numbers and identify all common factors. To get the GCF multiply all common factors:

`8m=2\cdot 2\cdot 2\cdot m,\\36m^3=2\cdot 2\cdot 3\cdot 3\cdot m\cdot m\cdot m,\\ 12=2\cdot 2\cdot 3`.

Common factors are: 2 and 2, their product is 2·2=4, then the greatest common factor is 4.