Question

Factor the expression using the GCF.

$32z-48$

Answer 1

We have given expression is $32z-48$
firstly we will find the factors of $\left(32z\right),\left(48\right)$

$$\begin{gathered} 32z=2\times 2\times 2\times 2\times 2\times z \\ 48=2\times 2\times 2\times 2\times 3 \end{gathered}$$

Now we can see that the G.C.F of $\left(32z\right),\left(48\right)$ is $2\times 2\times 2\times 2=16$

we will Use the GCF to factor the expression

$$\begin{gathered} 32z-48=16\left(2z\right)-16\left(3\right)\{Rewritetheexpression\} \\ =16(2z-3)\{Distributiveproperty\} \end{gathered}$$

Hence the expression using the GCF is $16(2z-3)$