Yes.
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.
No, their GCF is always odd.
No. For example, the GCF of 8 and 12 is 4. The GCF of 12 and 18 is 6. The Greatest Common Factor of two even numbers will always be even, but it will not always be 2.
No. The GCF of 8 and 12 is 4.
No. The GCF of 4 and 8 is 4.
The greatest common factor (GCF) of two even numbers is always even because both numbers are divisible by 2. Since the GCF is the largest integer that divides both numbers without leaving a remainder, it must also be divisible by 2. Therefore, the GCF itself is even, as it shares this common factor of 2 with both original even numbers.
no, the GCF for 4 and 2 would be 2, which is even
If x is an odd number that is a common factor of 2 even numbers, so is 2x. So the answer is yes.
No not always as for example the GCF of 7 and 21 is 7
By definition, every even number has 2 as a factor. That means that every set of even numbers will have at least 2 as a common factor. The GCF might be higher, but if it has 2 as a factor, it's even.
Any consecutive even numbers have a GCF of 2.
True. Even numbers are even because they are multiples of 2. That means that any two even numbers will have at least 2 as a common factor. Since that number (the GCF) will have 2 as a factor, it will be a multiple of 2: an even number.