#### Answer

$2x(7y-5z+4w)$

#### Work Step by Step

The greatest number that divides the numerical coefficients is 2.
The variables raised to the smallest exponents are $w^0$ (which is equal to 1), $x$, $y^0$ (which is equal to 1), and $z^0$ (which is equal to 1).
Thus, the greatest common factor is $2x$.
Factor this out to obtain:
$=2x(7y-5z+4w)$