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Two integers are relatively prime if they share no common positive factors (divisors) except 1. Using the notation to denote the greatest common divisor, two integers and are relatively prime if . Relatively prime integers are sometimes also called strangers or coprime and are denoted . The plot above plots and along the two axes and colors a square black if and white otherwise (left figure) and simply colored according to (right figure).

Two numbers can be tested to see if they are relatively prime in Mathematica using CoprimeQ[m, n].

Two distinct primes and are always relatively prime, , as are any positive integer powers of distinct primes and , .

Relative primality is not transitive. For example, and , but .

The probability that two integers and picked at random are relatively prime is

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Related questions

What is a number that is relatively prime?

A number is relatively prime to another number or set of numbers when their GCF is 1.


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 number is relatively prime to forty?

41 is relatively prime.


Is 16 a relatively prime number?

It can be. 16 is relatively prime with 25.


Are 100 and 202 relatively prime?

No, 100 and 202 are not relatively prime. Relatively prime numbers only have the number 1 as a common factor. The number 1 is a common factor for them, but the number 2 is another common factor that they have, so they are not relatively prime.


Are 12 and 51 relatively prime?

They are not relatively prime. To be relatively prime, the only common factor they could have would be the number 1. Both also have the number 3 as a common factor, so they are not relatively prime.


What is the relatively prime number of 13 and 4?

13 and 4 are relatively prime.


What is the relatively prime number of 13 and 24?

13 and 24 are relatively prime.


Is 30 a relatively prime number?

A number cannot be relatively prime number by itself. It can only be relatively prime in the context of (relativeto) another number. That requires the two numbers not to have any prime factors in common.


What is a number that is relatively prime to 50?

An easy way to find a number relatively prime to another number is to find a nearby prime number. For example, 53 is relatively prime with 50. The following pairs are relatively prime. 3, 50 19, 50 37, 50 49, 50 50, 69 50, 201 50, 341 Any number that is not divisible by 2 or 5 will be relatively prime to 50.


Is 1 relatively prime?

Two numbers are relatively prime if they have no factor in common. But a single number cannot be relatively prime.


Are 3 and 52 relatively prime?

A number cannot be "relatively prime" except in relation to another number. For example, 8 and 15 are relatively primebecause they contain no prime factors in common.