Answer:
[tex]12[/tex]
Step-by-step explanation:
We know that [tex]24=12*2[/tex], [tex]12=12*1[/tex], and [tex]36=12*3[/tex].
So, we can re-write the equation as [tex]12*2*A+12*1*B=12*3[/tex].
We can factor out a [tex]12[/tex] from both sides to get [tex]12(2A+B)=12(3)[/tex].
The insides can't be simplified anymore, so the final equation is [tex]12(2A+b)=12(3)[/tex] and the gcf is [tex]\boxed{12}[/tex]
