Question

Question #99e5b

Answer 1

`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.