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Earn +20 ptsQ: Are two different prime numbers always relatively prime?
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Can any two prime numbers be relatively prime?
It is, and always is relatively 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 the GCF of relatively prime numbers ever 1?
The GCF of relatively prime numbers is always 1, by definition.
Are two prime numbers always sometimes or never relatively prime?
Always
Are 2 and 3 relatively prime numbers?
Yes. In general, if you have two different prime numbers, they will also be relatively prime.
Are two composite numbers always relatively prime?
No.
Why can two consecutive numbers be relately prime?
A pair of prime numbers are always relatively prime, whether they are consecutive or not. This is so because "relatively prime" means they have no common factors.
Is the product always the least common multiple of the numbers?
No, only if the numbers are relatively prime.
Are two consecutive numbers always relatively prime?
Yes.
Is consecutive natural numbers are always relatively prime?
Yes.
Is 2 composite numbers are always relatively prime?
No, they need not be.
Are 28 and 34 relatively prime?
No, 28 and 34 are not relatively prime. No pair of even numbers can be relatively prime, as they always share at least one factor (2).
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