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Verified Answer :

There are two terms that could have a greatest common factor of 5m2n2, and those are 5m4n3 and 15m2n2. 

Answer: The correct options are \(15m^2n^2\&5m^4n^3\).

Step-by-step explanation:

Desired factors = \(5m^2n^2\)= 5 × m × m × n × n

Factors of given option are:

\(m^5n^5\) = m × m × m × m × m × n × n × n × n × n

\(5m^4n^3\) = 5 × m × m × m × m × n × n × n

\(10m^4n\) = 2 × 5 × m × m × m × m × n

\(15m^2n^2\) = 3 × 5 × m × m × n × n

\(24m^3n^4\) = 2 × 2 × 2 × 3 × m × m × m × n × n × n × n

Hence,the correct options are \(15m^2n^2 \& 5m^4n^3\).