Answer
$(p+2)(2p^3+1)
$
Work Step by Step
The $GCF$ of the terms is $
(p+2)
$ since it is the highest expression that can evenly divide (no remainder) all the given terms.
Factoring the $GCF,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
2p^3(p+2)+(p+2)
\\\\=
(p+2)(2p^3+1)
.\end{array}