Respuesta :

8m=2*2*2*m
36m^3=2*2*3*3*m*m*m
12=2*2*3

gcf=2*2
answer is 4

Answer: 4

Step-by-step explanation:

The given expressions : [tex]8m,\ 36m^3\ and\ 12[/tex]

The prime factorization of 8m is given by :-

[tex]8m=2\times2\times2\times m[/tex]

The prime factorization of [tex]36m^3[/tex] is given by :-

[tex]36m^3=2\times2\times3\times3\times m\times \times m[/tex]

The prime factorization of [tex]12[/tex] is given by :-

[tex]12=2\times2\times3[/tex]

We can see that the greatest common factor of [tex]8m,\ 36m^3\ and\ 12[/tex] is [tex]2\times2=4[/tex]

Thus, the  greatest common factor of [tex]8m,\ 36m^3\ and\ 12=4[/tex]