Question

find the gcf of the following expression. rewrite the expression with the gcf factored out. 16x^2+24x

Answer 1

`16x^2+24x`

Find the prime factor of each coefficient:

Multiply the prime factors they have in common to reach the greatest common factor.

GCF=2*2=4

Note: the greatest common factor is the factor that divides both numbers without leaving any residue.

Now you can factor the GCF out and rewrite the expression

`\begin{gathered} 16x^2+24x \\ 4(4x^2+6x) \end{gathered}`