What is the GCF of the terms of 8c^3+12c^2+10c ?

I am confused between 2 and 2c. Which one is it?

since every term has a "c" in it, 2c is the GCF, not just 2.

To find the greatest common factor (GCF) of the terms in the expression 8c^3 + 12c^2 + 10c, we need to look for the highest power of c that is common to all the terms. In this case, the highest power of c that is common to all three terms is c.

To simplify the expression and find the GCF, we factor out the common factor c from each term:

8c^3 + 12c^2 + 10c = c(8c^2 + 12c + 10)

Therefore, the GCF of the terms in the expression is c.

Regarding your confusion between 2 and 2c, it seems that you might be thinking about factoring out the GCF from the coefficients (numbers) instead of the variable (c). In this expression, the variable is c, so the common factor we are looking for is c, not a number like 2.