Question

Factor the expression using the GCF.
$16n-24$

Answer 1

First of all we will find the G.C.F of $16n$ and $24$

We can write
$$\begin{gathered} 16n=2\times 2\times 2\times 2\times n \\ 24=2\times 2\times 2\times 3 \end{gathered}$$

Now we can see common prime factor is $2\times 2\times 2=8$

So, the GCF of $16n$ and $24$ is $8.$

Now Use the GCF to factor the expression we can write

$$\begin{gathered} 16n-24=8\left(2n\right)-8\left(3\right)\{RewriteisongGCF\} \\ =8(2n-3)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $8(2n-3)$