Given:
The given terms are
[tex]4p^3mn^2[/tex] and [tex]2pm^2n^3[/tex]
To find:
The common factors of given terms.
Solution:
We have,
[tex]4p^3mn^2[/tex] and [tex]2pm^2n^3[/tex]
The factor forms are
[tex]4p^3mn^2=2\times 2\times p\times p\times p\times m\times n\times n[/tex]
[tex]2pm^2n^3=2\times p\times m\times m\times n\times n\times n[/tex]
The common factors are 2, p, m, n, n. So,
Common factors = [tex]2\times p\times m\times n\times n[/tex]
= [tex]2pmn^2[/tex]
Therefore, the common factor of given terms is [tex]2pmn^2[/tex].