Question

Factor the expression using the GCF.

$42a+14b$

Answer 1

First of all we will find the G.C.F of $42a$ and $14b$

We can write

$$\begin{gathered} 42a=2\times 3\times 7\times a \\ 14b=2\times 7\times b \end{gathered}$$

Now we can see common prime factor is $2\times 7=14$

So, the GCF of $42a$ and $14b$ is $14$.

Now Use the GCF to factor the expression we can write

$$\begin{gathered} 42a+14b=14\left(3a\right)+14\left(b\right)\{Rewriteu\sin gGCF\} \\ =14(3a+b)\{Distributiveproperty\} \end{gathered}$$

Hence the expression using the GCF $is14(3a+b).$