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.