Answer
The GCF=$4p$
$4p(3p^{3}+4p^{2}+2)$
Work Step by Step
Find the GCF of the terms of each polynomial. Then factor the polynomial.
$12p^{4}+16p^{3}+8p$
All of the terms have a $p$ so the GCF must contain $p$
Also, all of the coefficients of the terms are divisible by 4 so the GCF must contain 4.
The GCF=$4p$
Factor:
$4p(3p^{3}+4p^{2}+2)$