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Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater.
Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.
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Is the greatest common factor of two odd numbers always 2?
Of course not. In fact, the greatest common factor of two odd numbers is never 2.-- 2 is never a factor of any odd number.-- The greatest common factor of the odd numbers 651 and 1,085 is 217.
Can a greatest common factor always be found for a set of whole numbers?
yes
Is the greatest common factor of any even numbers always even?
Yes.
What is the greatest common factor of 16and56?
The greatest common factor of the numbers 16 and 56 is 8.
What is the greatest common factor of 323and391?
The greatest common factor of the numbers 323 and 391 is 17.
