What is the GCF of 25x^5, 125x^3, and 75x?
The prime factorization of 25x^5 is 5^2 * x^5.
The prime factorization of 125x^3 is 5^3 * x^3.
The prime factorization of 75x is 5^2 * 3 * x.
The GCF is the product of the highest power of each common factor.
The common factors are 5^2 and x.
The highest power of 5 is 2, the highest power of x is 1.
Therefore, the GCF is 5^2 * x^1 = 25x.