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Q: Can odd numbers have an even greatest common factor?

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No, 2 is a common factor of all even numbers but not necessarily the greatest common factor. Take 40 and 32: 40:1,2,4,5,8,10,20,40 32:1,2,4,8,16,32 8 is the greatest common factor of these two even numbers.

Consecutive even numbers.

Consecutive even numbers.

It can be, but there is no way to tell.For example:4 and 8 are both even numbers, but their greatest common factor is 4.

No.

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No, 2 is a common factor of all even numbers but not necessarily the greatest common factor. Take 40 and 32: 40:1,2,4,5,8,10,20,40 32:1,2,4,8,16,32 8 is the greatest common factor of these two even numbers.

Consecutive even numbers.

Consecutive even numbers.

Consecutive even numbers.

It can be, but there is no way to tell.For example:4 and 8 are both even numbers, but their greatest common factor is 4.

No.

No. Every even number has a factor of 2. So any two even numbers share 2 as a factor. So the greatest common factor has to be at least 2.

Consecutive even numbers

Yes.

Yes.

No.

No, the greatest common factor of two even numbers is not always two. For instance, the GCF of 4 and 8 is 4.

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