What is the GCF of 25x5, 125x3, and 75x?
To find the greatest common factor (GCF) of 25x5, 125x3, and 75x, we need to determine the highest power of each prime factor that appears in all three terms.
First, let's break down each term into its prime factors:
25x5 = 5^2 * x * 5
125x3 = 5^3 * x^3
75x = 5^2 * 3 * x
Now, let's find the highest power of each prime factor:
The highest power of 5 is 5^2 (appears in all three terms).
The highest power of x is x (appears in all three terms).
The highest power of 3 is 3 (only appears in the third term).
Therefore, the GCF of 25x5, 125x3, and 75x is 5^2 * x = 25x.