Question

Find the GCF of the following monomials. -50m⁴ n⁷ and 40m² n¹⁰

Answer 1

Greetings!

We can factor this expression/ the GCF is:
$-10m^2n^7$

$(-10m^2n^7)(5m^2-4n^3)$

Hope this helps.
-Benjamin

Answer 2

Answer:  $10\ m^2\ n^7$

Step-by-step explanation:

The given monomials : $-50m^4n^7\text{ and }40 m^2 n^{10}$

The prime factorization of coefficients :-

$50=5\times5\times2\\\\40=5\times2\times2$

GCF(50, 40)=$2\times5=10$

The greatest common degree of m is 2

The greatest common degree of n is 7

So , the GCF of the given monomilas will be :-

$10\ m^2\ n^7$