#### Answer

$2p^2q^4(-2p-q)\space\space \text{ or }\space-2p^2q^4(2p+q)$

#### Work Step by Step

The GCF of the coefficients is $2$.
The GCF of the literal coefficients (the variables) is the one with the lowest exponent for each variable.
Thus, the GCF for the variables is $p^2q^4$.
The GCF is $2p^2q^4$.
Factor out the GCF to obtain:
$-4p^3q^4-2p^2q^5=2p^2q^4(-2p-q)$
Alternatively, $-2p^2q^4$ can be factored out to obtain:
$-4p^3q^4-2p^2q^5=-2p^2q^4(2p+q)$