## Algebra 1

a) $5q^{2}$ b) 1
Factors of $15q^{3}$ : 3 $\times$ 5 $\times$ q $\times$ q $\times$ q Factors of $40q^{2}$ : 2 $\times$ 2 $\times$ 2 $\times$ 5 $\times$ q $\times$ q a) They both have a 5 $\times$ q $\times$ q common, thus the greatest common factor of is $5q^{2}$ Factors of $3q$ : 3 $\times$ 1 $\times$ q Factors of 8: 1 $\times$ 2 $\times$ 2 $\times$ 2 b) They both have a 1 common thus the greatest common factor is 1