Question

The greatest common factor of any two even numbers is always even. Is this true or false? Explain if it's true, give a reason if it's false. IT'S URGENT PLEASE HELP ME!

Answer 1

any even number can be represented as 2n where n is an integer


so any 2 even numbers can be represented as 2n and 2m

obviously, one of the common factors is 2
if m and n have no more common factors, then 2 is the GCF and the GCF is even

if m and n have a common factor of x, then the GCF is 2x which is even because x is an integer



true