Use the gcf of the terms to write the expression as the product of two factors with integer coefficients.
-2x^3-4x^2+4x

The greatest common factor (GCF) is determined by finding the greatest factor that would simplify all the terms of the equation the most. 

For the equation -2x³ - 4x² + 4x
The common factor for the coefficients -2, -4 and 4 is -2, since all of them are divisible by -2.
The common factor for the variables x³, x² and x is x, since all of them are divisible by x.

Then, the GCF would be -2x. We use this to simplify the equation:

-2x(x² + 2x -2)