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Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?
Yes and yes.
Is the gcf of an even numbers always even?
It is not always even. * * * * * Yes. Since the numbers are even, 2 must be a common factor and so the GCF is a multiple of 2.
Why is the gcf of an odd number and an even number always odd?
Because odd numbers don't have any even factors so they can't have any in common.
Is a GCF for two odd numbers always odd?
no, the GCF for 4 and 2 would be 2, which is even
Is the gcf of two even numbers even?
The GCF of two even numbers is even.
Is the GCF of any two even numbers is always even?
The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.
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.
If the gcf numbers are even is it always even?
The GCF of two even numbers is always even.
Is it true the gcf of any two numbers always even and why?
No
Is it true that the gcf of any two even numbers is always even?
Yes.
Why is the GCF of any odd numbers always odd?
The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.
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.
Are there any 2 even numbers that the GCF is an odd number?
No not always as for example the GCF of 7 and 21 is 7
Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?
Yes and yes.
