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# WHAT ARE THE COMMON PRIME FACTOR IN THIS PAIR OF NUMBERS 21 AND 411?

Updated: 4/28/2022

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Q: WHAT ARE THE COMMON PRIME FACTOR IN THIS PAIR OF NUMBERS 21 AND 411?
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Related questions

A prime number

### For which pair is the greatest common factor 1?

Any pair of prime numbers

### When a pair of numbers have ONLY 1 as the common factor what is it called?

relatively prime or co-prime.

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' 1 ' is their only common factor. They're both prime numbers.

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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.

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Any pair of prime or relatively prime numbers.

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Numbers that are relatively prime, like 5 and 7 or 5 and 8.

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Prime numbers have one factor pair.

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Since 1, known as the "multiplicative identity", cannot be counted as a factor, there are many pairs of numbers that do not have common factors, such as 2 and 3, 2 and 5, and 3 and 5. There are many pairs of composite (not prime) numbers without common factors, such as 4 and 9. Also, since prime numbers do not have factors, any pair of primes cannot have a common factor, though a pair in which one number is prime may, e.g. 5 and 10.