Question

identify the greatest common factor of $25w^{3}z^{2}$ and $20w^{4}z$.

Explanation:

Step1: Factorize coefficients

$25 = 5\times5$, $20=2\times2\times5$
The GCF of 25 and 20 is 5.

Step2: Analyze variables

For variable $w$, in $w^{3}$ and $w^{4}$, the lowest - power is $w^{3}$.
For variable $z$, in $z^{2}$ and $z$, the lowest - power is $z$.

Step3: Combine results

The GCF of $25w^{3}z^{2}$ and $20w^{4}z$ is the product of the GCF of coefficients and the lowest - power of variables, which is $5w^{3}z$.

Answer:

$5w^{3}z$