Question

question
identify the greatest common factor of $49w^{2}x^{2}$ and $42a^{4}w^{4}z^{2}$.

Explanation:

Step1: Factor coefficients

Prime factors: $49=7^2$, $42=2\times3\times7$
GCF of coefficients: $7$

Step2: Factor variable $w$

Terms: $w^2$, $w^4$
GCF of $w$-terms: $w^2$

Step3: Check other variables

No shared $x,a,z$ terms between the two expressions.

Answer:

$7w^2$