#### Answer

$11z \left( z-4\right)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Get the $GCF$ of the given expression, $
11z^2-44z
.$ Divide the given expression and the $GCF.$ Express the answer as the product of the $GCF$ and the resulting quotient.
$\bf{\text{Solution Details:}}$
The $GCF$ of the constants of the terms $\{
11,-44
\}$ is $
11
$ since it is the highest number that can divide all the given constants. The $GCF$ of the common variable/s is the variable/s with the lowest exponent. Hence, the $GCF$ of the common variable/s $\{
z^2,z
\}$ is $
z
.$ Hence, the entire expression has $GCF=
11z
.$
Factoring the $GCF=
11z
,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
11z \left( \dfrac{11z^2}{11z}-\dfrac{44z }{11z}\right)
\\\\=
11z \left( z-4\right)
.\end{array}