Answer
$-3z^{3}w^{2}(z^{2}+6w^{2})$
Work Step by Step
The greatest common factor of $-3z^{5}w^{2}-18z^{3}w^{4}$ is $-3z^{3}w^{2}$.
We can use the distributive property to factor out the greatest common factor.
1. $-3z^{5}w^{2}-18z^{3}w^{4}$
2. $-3z^{3}w^{2}\times z^{2}+(-3z^{3}w^{2}\times 6w^{2})$
3. $-3z^{3}w^{2}(z^{2}+6w^{2})$