Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Are pairs of numbers relatively prime?
In number theory, two integers a and b are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. The numbers 14 and 25 are coprime, since 1 is their only common divisor. On the other hand, 14 and 21 are not coprime, because they are both divisible by 7.
How do you solve relatively prime?
Therefore, the easiest way to determine if two numbers are relatively prime is to factor each number into its prime factorization and see if any factors are in common. If not, then the numbers will be relatively prime.
What makes a number a relatively prime number?
Two numbers are said to be relatively prime if their greatest common factor ( GCF ) is 1 . The factors of 20 are 1, 2, 4, 5, 10, and 20 . The factors of 33 are 1, 3, 11, and 33 . The only common factor is 1 . So, the GCF is 1 . Therefore, 20 and 33 are relatively prime.
Which is a relatively prime pair 5 or 9?
Let us determine whether two numbers 5 and 9 are relatively prime. Thus, by the relatively prime definition, (5, 9) is a relatively prime pair. Let us determine whether two numbers 6 and 10 are relatively prime. Thus, by the relatively prime definition, (6,10) is NOT a relatively prime pair.
Which is an example of a relative prime?
Relative primes, or coprimes, are integers which share no divisors (factors) other than 1. For example, the factors of 14 are 1, 2, 7, & 14, and the factors of 15 are 1, 3, 5, & 15. Neither of these numbers is prime, but they are coprimes, being prime relative to each other.
Which is a relatively prime number 20 or 33?
Example 1: The factors of 20 are 1 , 2 , 4 , 5 , 10 , and 20 . The factors of 33 are 1 , 3 , 11 , and 33 . The only common factor is 1 . So, the GCF is 1 . Therefore, 20 and 33 are relatively prime.
