Find the GCF. 8a^3b^5c^2 and 12a^2b^3c^2 A 4ab^2c^2 B 4a^2b^3c^2 C 4abc D 4a^2b^2c^2

## Step 1: Find the GCF of the coefficients.<br />### The coefficients are 8 and 12. The factors of 8 are 1, 2, 4, and 8. The factors of 12 are 1, 2, 3, 4, 6, and 12. The greatest common factor of 8 and 12 is 4.<br /><br />## Step 2: Find the GCF of the variables.<br />### For each variable, choose the smallest exponent. The variables are $a$, $b$, and $c$. The smallest exponent of $a$ is $a^2$. The smallest exponent of $b$ is $b^3$. The smallest exponent of $c$ is $c^2$.<br /><br />## Step 3: Combine the GCF of the coefficients and variables.<br />### The GCF of the coefficients is 4. The GCF of the variables is $a^2b^3c^2$. Combining these gives $4a^2b^3c^2$.