Question

find the greatest common factor of $15m^2$ and $20m^4$.

Explanation:

Step1: Find GCF of coefficients

Factor 15 and 20:
$15 = 3 \times 5$
$20 = 4 \times 5 = 2^2 \times 5$
GCF of 15 and 20 is 5.

Step2: Find GCF of variables

For $m^2$ and $m^4$, the lowest power of $m$ is $m^2$.

Step3: Combine results

Multiply the GCF of coefficients and variables:
$5 \times m^2 = 5m^2$

Answer:

$5m^2$