To factor an expression using GCF we need to first factorate the numbers. We have:
[tex]\begin{gathered} 24=2\cdot2\cdot2\cdot3 \\ 36=2\cdot2\cdot3\cdot3 \end{gathered}[/tex]We now need to take the factors that repeat. We have "2" repeating twice and "3" repeating once. So we have:
[tex]GCF=2\cdot2\cdot3=12[/tex]GCF= 2*2*3=12
We now divide both numbers by the GCF, we have:
[tex]\frac{24}{12}=2[/tex][tex]\frac{36}{12}=3[/tex]We can represent the expression as the product of the GCF with the divisions above.
[tex]12\cdot(2+3)[/tex]