What is the difference between relatively prime and prime

If the HCF is 1, then the two numbers are said to be relatively primes. The HCF-Highest Common Factor of two numbers can be found by listing down all the factors and then selecting the highest common factor out of those. For example: Let's determine whether the given pairs of numbers are relatively prime or not a 7 and 9; b 8 and Given below are some of the important notes related to relatively prime that we read in this article. Have a look! Check out the important topics mentioned below to learn more about the relatively prime numbers and its related topics.

Example 1: Find which of the following pairs of numbers are relatively prime. Also, the numbers are consecutive and we know that any two consecutive numbers are always relatively prime. Example 2: If the product of two relatively prime numbers is 87, find the LCM of the numbers. Example 3: Sophia is asked to find the HCF of 59 and 97 given that they are relatively prime. Can we help her with this? Solution: It is given that 59 and 97 are relatively prime.

Their only common factor is 1. Hence, their HCF is 1. Two numbers are said to be relatively prime if the common factor between the numbers is one. For example, 34 and 35 are relatively prime. Factors of 34 are 1, 2, 17, 34, and factors of 35 are 1, 5, 7, Yes, 4 and 9 are relatively prime because the HCF of 4 and 9 is 1. Factors of 4 are 1,2, 4, and factors of 9 are 1,3,9. No, 42 and 77 are not relatively prime because the HCF of 42 and 77 is 7.

Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42, and factors of 77 are 1, 7, 11, and Thus we can see that 7 is the HCF of 42 and That means the only common factor of two consecutive numbers is 1. For example, 39 and 40 are two consecutive numbers. Relatively prime as an adjective mathematics, of two or more numbers :.

Relatively prime as an adjective mathematics, of a number :. The difference between Coprime and Relatively prime When used as adjectives , coprime means having no positive integer factors in common, aside from 1, whereas relatively prime means having no factors except the number 1 in common.

Coprime as an adjective number theory, of two or more positive integers : Having no positive integer factors in common, aside from 1. Examples: "24 and 35 are coprime. Examples: "24 is coprime to Relatively prime as an adjective mathematics, of two or more numbers : having no factors except the number 1 in common.