The GCF is [tex]mn^{4} p^{3}[/tex]
Explanation:
The GCF or greatest common factor is the factorization of two or more numbers to determine the greatest number that they have common.
The given terms are [tex]m^{7} n^{4} p^{3}[/tex] and [tex]m n^{12} p^{5}[/tex]
To determine the gcf of these two terms, let us find the greatest number that they have in common.
Comparing the powers of m from both the terms, we have,
[tex]g c f\left(m^{7}, m\right)=m[/tex]
Similarly, comparing the powers of n from both the terms, we have,
[tex]g c f\left(n^{4}, n^{12}\right)=n^{4}[/tex]
Also, comparing the powers of p from both the terms, we have,
[tex]g c f\left(p^{3}, p^{5}\right)=p^{3}[/tex]
Thus, the GCF of the terms [tex]m^{7} n^{4} p^{3}[/tex] and [tex]m n^{12} p^{5}[/tex] is [tex]mn^{4} p^{3}[/tex]
