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Verified Answer :

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 : \(5m^4n^3\)  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)