How do you find the gcf of #20x^2 - 18xy#?

1 Answer
Jun 24, 2015

Answer:

The two terms of #20x^2-18xy# have a gcf of #2x#

Explanation:

Prime factors of:
#20x^2# are #[color(red)(2),2,5,color(red)(x),x]#
#18xy# are #[color(red)(2),3,3,color(red)(x), y]#

The factors common to both prime factor decomposition are:
#color(white)("XXXX")##[2,x]#
and the greatest common factor (gcf) is
#color(white)("XXXX")##2 xx x = 2x#