6x^4+18x^3+24x^2+18x

Question

What is the largest factor that can be factored out?

Answer 1

There's a number part and a variable part to the GCF. The variable part is just x, since that is the most that the last term has in it. Clearly, 6 will divide evenly into all of the coefficients, so the GCF is  6x.