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Earn +20 ptsQ: Is the GCF of any two even numbers is always even?
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Is the GCF of any two numbers always odd and why?
The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.
Is the GCF of any two even numbers always even?
Yes.
The gcf of any two even numbers is always even?
That is correct.
Is the gcf of any two even numbers is always even true or false?
True.
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.
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