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

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Consecutive even numbers.

Consecutive even numbers.

Consecutive even numbers.

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.

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.

Consecutive even numbers

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.

No, odd numbers don't have even factors.

No.

Yes.

Yes.

Yes, two even numbers will have an even GCF.

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

No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.

Consecutive even numbers.

Any consecutive even numbers.

Any consecutive even numbers.

Yes.

Yes.

yes

That's known as the greatest common factor, or GCF.

Consecutive even numbers have a GCF of 2.

No. Because both numbers are even, they each have 2 as a factor. Even if they have a larger factor in common, it will be a multiple of 2, so the greatest common factor will be an even number.Yes. Two even numbers are each divisible by 2. The GCF must therefore always have two as one of its factors; this makes it even.

14 and 28 are two even numbers between 10 and 30 whose greatest common factor is 14.