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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.

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

What set of numbers has a greatest common factor of 1?

Prime numbers and numbers that are relatively prime.


If the greatest common factor of two numbers is 1 what can you say about the numbers?

They are relatively prime.


When the greatest common factor of two numbers is 1 then the two numbers are said to be what?

If the greatest common factor is 1, then the numbers are said to be co-prime or relatively prime.


If you know that two numbers are relatively prime can you predict what the least common multiple will be?

The least common multiple of two numbers is the product of those two numbers, divided by the greatest common factor of those two numbers. Two numbers that are relatively prime have a greatest common factor of 1. So, when the two numbers are relatively prime, the least common multiple is the product of both numbers divided by 1. So, when two numbers are relatively prime, the least common multiple is the product of the two numbers.this is wron


What is the greatest common factor of 9 and 26 and are the numbers are relatively prime?

The GCF is 1 which makes those numbers relatively prime.


Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.


Is the product always the least common multiple of the numbers?

No, only if the numbers are relatively prime.


When is the Greatest common Factor of two numbers 1?

They are relatively prime, or co-prime.


What are numbers that are relatively prime to each other?

Numbers with their Greatest Common Divisor (GCD) as 1 are called to be as relatively prime to each other.


What numbers are relatively prime?

Numbers having no common positive divisors other than one are relatively prime. In other words, the greatest common denominator of the numbers is one. Example: 24 and 25 are relatively prime.


How can you tell if two numbers are relatively prime?

If their greatest common denominator (gcd) is 1, they're relatively prime.


What is the greatest common factor of 58 and 60 and are the numbers are relatively prime?

The GCF is 2 which means they are not relatively prime.