The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions. When the leading coefficient is negative, we factor the negative out as p...The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions. When the leading coefficient is negative, we factor the negative out as part of the GCF. When there is no common factor of all the terms of a polynomial, look for a common factor in just some of the terms. The greatest common factor is the largest expression that is a factor of two or more expressions is the greatest common factor (GCF).