6x^3-3x^5

find gcf

To find the greatest common factor (GCF) of the given expression, 6x^3 - 3x^5, we need to factor out the largest power of x that is common to both terms.

First, let's factor out 3x^3 from each term:
6x^3 - 3x^5 = 3x^3(2 - x^2)

Now, to find the GCF, we need to factor the expression inside the parentheses further. It becomes:
2 - x^2 = (2 - x)(2 + x)

Therefore, the GCF of 6x^3 - 3x^5 is 3x^3.