Question

For all positive integers x ,what is the greatest common factor of the numbers 256x and 144x

Answer 1

First, let's factor both of these numbers.

256x:


`2^(8) * x`

144x:


`3^(2) * 2^(4) * x`

Both of these numbers contain
`2^(4) * x`, so that would be the greatest common factor. This could also be written as 16x.