Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 519: 10

a) $5g^{2}$ b) 2

Factors of $10g^{3}$ : 2 $\times$ 5 $\times$ g $\times$ g $\times$ g Factors of $25g^{2}$ : 5 $\times$ 5 $\times$ g $\times$ g Factors of $5g^{2}$ : 1 $\times$ 5 $\times$ g $\times$ g a) The greatest common factor of $10g^{3}$, $25g^{2}$, $5g^{2}$ is $5g^{2}$ Factors of $4g$ : 2 $\times$ 2 $\times$ g Factors of 10: 2 $\times$ 5 b) The greatest common factor of 4g and 10 is 2