Question

Which terms could have a greatest common factor of 5m2n2? Check all that apply.

m5n5
5m4n3
10m4n
15m2n2
24m3n4

Answer 1

Based on the given term above, the greatest common factor for it would be the second and the fourth option. So for 5m^2n^2, its greatest common factors would be 5m^4n^3 and 15m^2n^2. Hope this is the answer that you are looking for. Have a great day!

Answer 2

Answer :
`5m^4n^3` and
`15m^2n^2`

Greatest common factor of
`5m^2n^2`

If we are able to factor out
`5m^2n^2` from each option then that would be our answer.

Lets check with each options

(a)
`m^5n^5`, we cannot take out 5.

(b)
`5m^4n^3`, We can take out common factor and it can be written as
`5m^4n^3=5m^2n^2(m^2n)`

(c)
`10m^4n`, we cannot take out n^2 because we have only 'n'

(d)
`15m^2n^2`, We can take out common factor and it can be written as
`15m^2n^2=5m^2n^2(3)`

(e)
`24m^3n^4`, we cannot take out 5 because we have 24

So answer is (b) and (d)