How to Find a Greatest Common Factor in a Polynomial?

To find the greatest common factor of a polynomial, first take all of the coefficients and list out their factors. After doing this, we can identify the greatest number that appears in each of the lists.

From there we will look for the lowest exponent for every variable. We'll use that number in our final answer. Remember, when doing this, that if the variable doesn't appear in a term, then the exponent is assumed to be 0.