Question

what is the greatest common factor of $8m^2$, $4m$, and $10m^4$?

Explanation:

Step1: Find GCF of coefficients

The coefficients are 8, 4, 10.
Prime factors:
$8 = 2\times2\times2$
$4 = 2\times2$
$10 = 2\times5$
Common prime factor: 2 (lowest power of 2 is $2^1$).

Step2: Find GCF of variables

Variables: $m^2$, $m$, $m^4$.
For $m$: lowest exponent is 1 (from $m = m^1$).

Step3: Combine GCFs

Multiply coefficient GCF (2) and variable GCF ($m^1$): $2m$.

Answer:

$2m$