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`

Explanation:

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

The prime factorization of coefficients :-

`50=5*5*2\\\\40=5*2*2`

GCF(50, 40)=
`2*5=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`