A GCF, Greatest Common Factor, is the expression that could divide all the expressions in the polynomial to yield the lowest value or factor in each expression. An example of which is,
27x³ + 9x² + 3x
The given expression above is a trinomial because there are only three terms. The term that would be able to divide all the terms is 3x.
To rewrite the expression, we divide all the terms by 3x
(27x³ + 9x² + 3x)/(3x)
Factoring out the numerator,
(3x)(9x² + 3x + 1)