How do you find the gcf of #6x^2 + 12x + 18y^2#?

1 Answer
Jun 24, 2015

Answer:

gcf #=6x#

Explanation:

Prime factors of
#6x^2 = {color(red)(2),color(red)( 3), color(red)(x), x}#
#12x = {color(red)(2),2,color(red)(3),color(red)(x)}#
#18x^2 ={color(red)(2),color(red)(3),3,color(red)(x),x}#

Factors that occur in all 3 terms:
#{color(red)(2,3,x)}#

gcf (Greatest Common Factor):
#=2xx3xx x = 6x#