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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.


If the gcf numbers are even is it always even?

The GCF of two even numbers is always even.


Is the GCF of two even numbers always two?

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.


Is the GFC of two even numbers is always 2?

No, their GCF is always odd.


Does the greatest common factor of two numbers have to be the same?

The same as what? The GCF of two numbers will be the same; the GCF of 3 and 9 will always be 3. The GCF of 9 and 12 will also always be 3, but the GCF of 4 and 12 will always be 4.


How can you use the prime factorization of two numbers to determine whether they are relatively prime?

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.


Is the GCF of two even numbers always 2?

No. The GCF of 4 and 8 is 4.


Is the gcf of two even numbers is 2 always?

No. The GCF of 8 and 12 is 4.


What is the HCF of two co-prime numbers is always?

The GCF is always 1.


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 two prime numbers always 1?

Yes


Is it true the gcf of any two numbers always even and why?

No