Question

find the greatest common factor of (20x^{2}) and (15m^{4}).

Explanation:

Step1: Find GCF of coefficients

Factor 20 and 15:
$20 = 2\times2\times5$, $15 = 3\times5$.
Common factor: $5$.

Step2: Find GCF of variables

For $x^2$ and $m^4$, no common variables (different bases $x$ and $m$), so variable GCF is $1$.

Step3: Multiply results

GCF = (Coefficient GCF) × (Variable GCF) = $5\times1 = 5$.

Answer:

$5$