Question

Question #2c726

Answer 1

See a solution process below:

Explanation:

Find the prime factors for each number as:

`20xy = 2 xx 2 xx 5 xx x xx y`

`24 = 2 xx 2 xx 2 xx 3 xx x xx y xx z`

Now identify the common factors and determine the GCF:

`20xy = color(red)(2) xx color(red)(2) xx 5 xx color(red)(x) xx color(red)(y)`

`24 = color(red)(2) xx color(red)(2) xx 2 xx 3 xx color(red)(x) xx color(red)(y) xx z`

Therefore:

`"GCF" = color(red)(2) xx color(red)(2) xx color(red)(x) xx color(red)(y) = 4xy`