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It is true. Two numbers are relatively prime if they do not have any factors in common greater than 1. A Prime number has only two factors - 1 and itself. Thus, two different prime numbers will only have 1 as a common factor, which means they are relatively prime.

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Q: Is it true that two distinct prime numbers can are relatively prime?
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Related questions

Are two compiosite numbers relatively prime true or false?

Any two prime numbers are relatively be prime?


Is it true that two different prime numbers are relatively prime?

Any two different prime numbers are relatively prime because relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor.


Is true that two composite numbers are relatively prime?

No it does not mean that.


Is it true or false that two composite numbers are relatively prime and explain?

Two composite numbers may or may not be relatively prime, depending on their factors. Relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.


True or false the greatest common factor of two relatively prime numbers is always 1?

True. By definition for two numbers to be relatively prime they must not share any common factors. So their greatest (and only) common factor would be 1.


What is true about all three pairs numbers 3 and 53 and 7 and 5 and 8?

They are relatively prime.


True or false if two numbers a relatively prime one of the must be prime?

False. Consider 4 and 9. Neither are prime, but they have no common factors other than 1 and are therefore relatively prime. More generally, any two numbers p^n and q^n where p, q both prime and n<>p or q and n>1 are relatively prime. This is by no means all pairs of relatively prime numbers, but it's an easy way to find examples where neither of the pair is prime.


True or false- the least common multiple of any two distinct prime numbers is the product the prime numbers?

true 2x3=6 LCM (2,3)=6 3x5=15 LCM (3,5)=15 2x5=10 LCM (2,5)=10


No even numbers are prime numbers true or false?

2 is prime


What is Distinct factors?

Distinct means separate. Sometimes, as in the case of square numbers, factors are repeated. The factor pairs of 16 are (16,1)(8,2)(4,4) The distinct factors of 16 are 1, 2, 4, 8, 16 The same is true of prime factors. The prime factorization of 36 is 2 x 2 x 3 x 3. The distinct prime factors of 36 are 2 and 3.


Is it true that prime numbers can never be even numbers?

No, 2 is prime.


Is 1 and 1 relatively prime?

Yes, 1 and 1 are relatively prime. Any two integers are relatively prime if their greatest common divisor is 1. This is certainly true of 1 and 1.