Question

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

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)