To find the greatest common factor (GCF) of 4x^2 and 8x, we need to determine the largest term that can divide both expressions evenly.
Let's factor each term separately:
4x^2 = 2 * 2 * x * x
8x = 2 * 2 * 2 * x
Now, let's identify the common factors in both expressions:
The common factors are 2 and x.
To find the GCF, we take the product of the common factors:
GCF(4x^2, 8x) = 2 * x = 2x.
Therefore, the greatest common factor of 4x^2 and 8x is 2x.