No. Odd numbers only have odd factors. They could not have an even factor in common.
No, the GCF of 6 and 7 is 1.
No. The GCF of 6 and 15 is 3.
No, but it's always an even number.
No, the GCF of an odd an even number is not always 1. Odd and even numbers can share factors other than 1. For example, the greatest common factor of 5 and 10 is 5.
No.
Never.
No. Odd numbers only have odd factors. They could not have an even factor in common.
No.
No, the GCF of 6 and 7 is 1.
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.
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, always odd.
No, always odd.
The GCF is 2.
19 and 38
The prime factors of 21 are 3 and 7.The prime factors of 14 are 2 and 7.The greatest common factor of 21 and 14 is 7.21ab and 14b also have another factor in common - b. So, the greatest common factor of 21ab and 14b would appear to be 7b . However, it is possible that a and 14 share a common factor of 2, in which case the greatest common factor of 21ab and 14b would be 14b.In summary, if a is an even number (i.e. having a factor of 2), the greatest common factor is 14b.If a is not an even number, the greatest common factor is 7b.gcf(21ab, 14b) = 7b.