Find the gcf of - 10c^2d and 15cd^2

The greatest common factor of these two terms is 5cd.

In order to find this we first need to look at all the factors of the two coefficients.

-10: - 1, 1, 2, 5, 10

15: 1, 3, 5, 15

The greatest number that is in both is 5. So we use that as the coefficient. Next we can only take out a variable in the amount that it is at its least. Since we have only 1 c in the second term, we can only use one c. Since we have only one d in the first term, we can use only one d.

This gives us 5cd