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Is the greatest common factor of any two odd numbers always odd?
Yes.Yes.2 can never be a factor of an odd number and because of that it can't be a common factor of any number pair where at least one of numbers is odd.
What is a odd factor?
An odd factor is a number that cannot be divided by 2. if it can be divided by 2 it is an even factor or even number.
Why is the gcf of any two even numbers always even?
All even numbers have two as a factor. Any two even numbers have (at the least) two as a common factor. That means the GCF of any two even numbers will have two as a factor. Any number that has two as a factor is even.
If 2 is a factor?
If 2 is a factor, the number is even.
Why is the greatest common factor of two even numbers always even?
Even numbers, by definition, are divisible by 2. That means that every even number has at least one 2 as a factor. If every even number has one, then any set of even numbers will have at least one 2 as a common factor. Since that number has two as a factor, it's even.
