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2\left(xyz-4z+7xy-28\right)
Factor out 2.
z\left(xy-4\right)+7\left(xy-4\right)
Consider xyz-4z+7xy-28. Do the grouping xyz-4z+7xy-28=\left(xyz-4z\right)+\left(7xy-28\right), and factor out z in the first and 7 in the second group.
\left(xy-4\right)\left(z+7\right)
Factor out common term xy-4 by using distributive property.
2\left(xy-4\right)\left(z+7\right)
Rewrite the complete factored expression.