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Answer:
GCF: 2xy
Step-by-step explanation:
2x^2y = 2 * x * x * y
4xy^3 = 2 * 2 * x * y * y * y
12x^2y^2 = 2 * 2 * 3 * x * x * y * y
Each monomial has been broken up into all its factors.
Below are the common factors shown in bold.
2x^2y = 2 * x * x * y
4xy^3 = 2 * 2 * x * y * y * y
12x^2y^2 = 2 * 2 * 3 * x * x * y * y
All terms have in common one factor 2, one factor x, and one factor y.
GCF: 2xy