Answer:
The greatest common factor =[tex]27mn^2[/tex]
Step-by-step explanation:
To find the greatest common factor (GCF) ,we have to look for the factors of [tex]54[/tex] and [tex]27[/tex],then have to look upon the greatest number.
Note: We are finding GCF by listing out he factors.
Factors of [tex]54[/tex] are [tex]1,2,3,6,9,18,27,54[/tex]
Factors of [tex]27[/tex] are [tex]1.3,9,27[/tex]
So the greatest among them is [tex]27[/tex].
Now for the variables we will find he common terms for [tex](mn^4),(m^3n^2)[/tex] we have [tex](mn^2)[/tex] as the common terms.
Then the GCF will also include this variables common term.
Finally we have [tex]27(mn^2)[/tex] as our GCF.
To choose from the situation we will choose [tex]27[/tex] ,[tex](m)[/tex] and [tex](n^2)[/tex] individually.
