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Q: Can a pair of numbers have more than one common factor?

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Yes.

Yes, the greatest common factor of a pair of numbers can equal one of the numbers if one of the numbers is a factor of the other.

That happens when one of the numbers is a factor of the other.

There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers.

Numbers with more than one factor pair are composite numbers.

Even numbers.

A prime number

Any pair of prime numbers

One is.

210 and 217 is the pair of numbers between 200 and 300 that has the greatest common factor of 7

Yes, a pair of numbers can have fewer than two common factors. This only happens when the numbers are co-prime -- that is, when the numbers have only one common factor. In that case, the common factor is always 1.

The least common factor is 1. (The least common factor of any two or more positive integers is always 1.)

The least common factor of any set of numbers is 1.

yes

1

Yes. 9 and 12 have 1 and 3 as common factors.

That pair of numbers doesn't exist, as the least common factor of any pair of positive numbers is 1. The LCM of 3 and 6 is 6. The GCF of 6 and 12 is 6.

No.

Any consecutive even numbers.

Any consecutive even numbers.

If they don't both divide by 3 then no multiple of 3 can be a common factor...

The least common factor of any set of numbers is 1.

Only if the magnitudes of two numbers are the same.

The common factor is 1.

Yes, if one of the numbers is a factor of the other.

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