what is the greatest common factor of 8m, 36m³, and 12?\n4\n8\n4m\n8m

what is the greatest common factor of 8m, 36m³, and 12?\n4\n8\n4m\n8m

what is the greatest common factor of 8m, 36m³, and 12?\n4\n8\n4m\n8m

Answer

Explanation:

Step1: Prime - factorize each term

$8m = 2\times2\times2\times m$; $36m^{3}=2\times2\times3\times3\times m\times m\times m$; $12 = 2\times2\times3$.

Step2: Identify common factors

The common factors among $8m$, $36m^{3}$, and $12$ are two factors of $2$.

Step3: Calculate GCF

The GCF is $2\times2=4$.

Answer:

A. 4