The greatest common factor (GCF) between 18u^5 x^7 and 15u^6 v^3 x

To find the greatest common factor (GCF) between 18u^5 x^7 and 15u^6 v^3 x, we need to find the highest power of each variable that is common to both terms.

The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 15 are 1, 3, 5, and 15.
The common factors of 18 and 15 are 1 and 3.

The GCF of u^5 and u^6 is u^5.
The GCF of x^7 and x is x.

Therefore, the GCF between 18u^5 x^7 and 15u^6 v^3 x is 3u^5 x.