The greatest common factor (GCF) between 30u^8 y^3 w^7 and 18u^6 w^7

To find the greatest common factor (GCF) between two terms, we need to factorize each term into its prime factors and then identify the common factors.

First, let's factorize each term:
30u^8 y^3 w^7 = 2 * 3 * 5 * u^8 * y^3 * w^7
18u^6 w^7 = 2 * 3 * 3 * u^6 * w^7

Now, let's identify the common factors:
Common factors are 2, 3, u^6, and w^7

Therefore, the GCF between 30u^8 y^3 w^7 and 18u^6 w^7 is:
GCF = 2 * 3 * u^6 * w^7 = 6u^6 w^7