Question

identify the greatest common factor of $40w^{4}x^{3}z$ and $15a^{4}w^{2}$.

Explanation:

Step1: Factorize the coefficients

Factorize 40 and 15. $40 = 2\times2\times2\times5$, $15=3\times5$. The greatest - common factor of 40 and 15 is 5.

Step2: Analyze the variable parts

For the variable $w$, in $40w^{4}x^{3}z$ the power of $w$ is 4 and in $15a^{4}w^{2}$ the power of $w$ is 2. The lowest power of $w$ between the two terms is $w^{2}$. There are no other common variables ($x,z,a$ are not common to both terms).

Answer:

$5w^{2}$