find the GCF of 12y^2 and 16y^3

To find the greatest common factor (GCF) of 12y^2 and 16y^3, we need to factor each term completely.

12y^2 = 2^2 * 3 * y^2
16y^3 = 2^4 * y^3

Next, we identify the common factors between the two terms:

Common factors:
2^2
y^2

Therefore, the GCF of 12y^2 and 16y^3 is 2^2 * y^2 = 4y^2.