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Numbers whose GCF is 1, like 24 and 49, are known as relatively prime. This means that they have no prime factors in common.

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Q: What does it mean to have a pair of relatively prime numbers?
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How can you tell when a number is relatively prime?

A number is never relatively prime.Relatively prime refers to a pair of numbers.


What are all the composite numbers between 50 and 100 that are relatively prime?

A single number cannot be relatively prime. Any pair of numbers between 50 and 100 of which one is a prime will be relatively prime. There are 728 pairs of numbers that are relatively prime and I have neither the time nor patience to list them all!


Why can there never be a pair of consecutive prime numbers that are both prime?

If you mean consecutive numbers that are prime? than the answer is 2,3 are consecutive numbers which are prime. except for this pair it is impossible for consecutive numbers to be prime because every second number is multiple of 2


What are 3 digit composite numbers which are relatively prime?

Composite numbers are numbers greater than 1 that have more than two factors. Relatively prime numbers are numbers that have no common factors other than 1. Therefore, to find 3-digit composite numbers that are relatively prime, we need to look for numbers that are composite and have no common factors. An example of such a pair of 3-digit composite numbers that are relatively prime would be 119 and 143.


What are the two numbers if they are relatively prime and their sum is 20 and their least common multiple is 99?

If the two numbers are relatively prime, their least common multiple is their product. The prime factors of 99 are 3, 3, and 11. Since the two numbers are relatively prime, the possibilities are 9 and 11 or 1 and 99. The pair of 9 and 11 add up to 20 and their least common multiple is 99. So, 9 and 11 are the two numbers.