Answer:
gcf is [tex]3m^2n[/tex]
Step-by-step explanation:
we are given
[tex]48m^5n[/tex] and [tex]81m^2n^2[/tex]
Firstly, we will find factors of both expression
[tex]48m^5n=2\times 2\times2\times 2\times 3\times m^2\times m^3\times n[/tex]
[tex]81m^2n^2=3\times 3\times 3\times 3\times m^2\times n\times n[/tex]
now, we will find common factors among them
we can see that
For finding gcf, we always find common factors
so,
common terms are 3,m^2 and n
so, gcf is
[tex]=3\times m^2\times n[/tex]
[tex]=3m^2n[/tex]
