What is the greatest common factor of 12a2 and 20ab ?

The greatest common factor of 12a^2 and 20ab is 4a.

To find the greatest common factor, we need to find the largest number and common factor that can divide evenly into both 12 and 20, as well as the variables a and b.

12a^2 = 2^2 * 3 * a^2
20ab = 2^2 * 5 * a * b

The common factors between 12 and 20 are 2^2 = 4.
The common factor of a between 12a^2 and 20ab is a.

So, the greatest common factor of 12a^2 and 20ab is 4a.