# How do you find the greatest common factor of #30y^3, 20y^2#?

Now, let's find the GCF of the variables.

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To find the greatest common factor of (30y^3) and (20y^2), we identify the highest power of each common factor.

The prime factorization of 30 is (2 \times 3 \times 5), and for 20, it is (2 \times 2 \times 5). So, the greatest common factor of the coefficients is (2 \times 5 = 10).

For the variables, (y^3) and (y^2) both have (y) as a common factor, and the greatest power of (y) in both terms is (y^2).

Therefore, the greatest common factor of (30y^3) and (20y^2) is (10y^2).

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