161k views
4 votes
Is the greatest common factor of any two even numbers always even

User Shaharmor
by
8.1k points

2 Answers

2 votes
yes, the gcf of even numbers would always be even because both of the numbers are divisible by 2 which makes 2 a factor of both the numbers, so the gcf should be even too.
User Zchtodd
by
8.1k points
2 votes
yes becaus any even numbers can be represented as 2n where n is an integer

so 2n and 2m where m and n aer both integers
they both have 2 as a factor so that will be included in finding the greatest common factor
User Adelbertc
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.