Answer
a) $3p^{2}$
b) 1
Work Step by Step
Factors of $6p^{3}$ : 3 $\times$ 2 $\times$ p $\times$ p $\times$ p
Factors of $3p^{2}$ : 3 $\times$ p $\times$ p
a) They both have a 3 $\times$ p $\times$ p common, thus the greatest common factor of $6p^{3}$, $3p^{2}$, is $3p^{2}$
Factors of $2p$ : 2 $\times$ 1 $\times$ r
Factors of 1: 1 $\times$ 1
b) They both have a 1 common thus the greatest common factor of 2p and 1 is 1
