Question #99e5b

1 Answer
Feb 8, 2017

Answer:

#GCF = 4 and LCM = 180xy#

Explanation:

Write each as the product of its prime factors:

#color(white)(.....)20y = color(blue)(2xx2)color(white)(.............) xx5 xxy#
#color(white)(.....)36x = color(blue)(2xx2)xx3xx3color(white)(................) xx x #

#" "GCF = color(blue)(2xx2) = 4#

#" "LCM = 2xx2xx3xx3xx5xx y xx x = 180xy#

NOte that for the LCM we need all the factors, but without duplicates.

For the GCF, we include all the factors they have in common and multiply them together.