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The greatest common factor (GCF) of a polynomial is the largest expression that can divide evenly into each term of the polynomial.
Looking at the polynomial 50h^3 + 50h^2 - 20, we can see that each term has a common factor of 10.
Therefore, the GCF of 50h^3 + 50h^2 - 20 is 10.
So, the correct answer is 10.