Question

Factor the expression using the GCF.

$36c+24d$

Answer 1

Step 1: Find the common prime factors

We can write ,

$$\begin{gathered} 36c=2\times 2\times 3\times 3\times c \\ 24d=2\times 2\times 2\times 3\times d \end{gathered}$$

Now we can see common prime factor is $2\times 2\times 3=12$
So, the GCF of $36c$ and $24d$ is $12.$

Step 2: Use the GCF to factor the expression

$$\begin{gathered} \Rightarrow 36c+24d=12\left(3c\right)+12\left(2d\right) \\ =12(3c+2d) \end{gathered}$$

Hence, final expression is $12(3c+2d)$.