# Chapter 5 - Section 5.1 - Greatest Common Factors and Factoring by Grouping - 5.1 Exercises - Page 329: 6

$5mn$

#### Work Step by Step

The greatest common factor of a group of terms is the greatest factor that evenly divides into all terms in the group. In this case, $5mn$ is the greatest common factor, because it is the largest factor that divides evenly into all 3 terms. $10m^{2}n^{2}\div5mn=2mn$ $25mn^{3}\div5mn=5n^{2}$ $50m^{2}n\div5mn=10m$

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