True or false. If two numbers are relatively prime,both numbers are prime. Please help ASAP!!! :( Give an example!!! :)

2 answers

FALSE

Relatively Prime numbers are numbers whose GCF ( Greatest Common Factor ) is 1.

When two numbers have no common factors other than 1.

In other words there is no value that you could divide them both by exactly (without any remainder).

21 and 22 are relatively prime:

The factors of 21 are 1, 3 , 7 and 21

The factors of 22 are 1, 2 , 11 and 22

The only common factor is 1.

14 and 15

they both are not prime numbers because both have prime factorization

14 = 2 * 7

15 = 3 * 5

6 and 35

6 = 2 * 3

35 = 5 * 7

So they are coprime, also you can see that they have no common factor. which also shows that they are coprime.

Hope this was helpful.
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