To find the greatest common factor (GCF) of 72x^3yz^3 and 120x^2z^5, we need to look for the highest power of each variable that appears in both terms.
Let's break down the variables and their powers:
- For x, the highest power that appears in both terms is x^2.
- For y, the highest power that appears in both terms is y^1.
- For z, the highest power that appears in both terms is z^3.
Now, let's multiply these common factors together: x^2 * y^1 * z^3 = x^2yz^3.
Therefore, the GCF of 72x^3yz^3 and 120x^2z^5 is: x^2yz^3.