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