Answer
$9z(z^{3}+9)$
Work Step by Step
The greatest common factor of $9z^{4}+81z$ is $9z$.
We can use the distributive property to factor out the greatest common factor.
1. $9z^{4}+81z$
2. $9z\times z^{3}+9z\times9$
3. $9z(z^{3}+9)$