Coprime numbers are numbers that have only one as their common factor. When we find the difference between two coprime numbers, we see that it can be any number. There are many pairs of Coprime numbers between 1 and 100. Coprime numbers do not necessarily have to be prime numbers. An example of coprime numbers is 8 and 15. A Coprime number definition states that it is called a disjoint or disjoint number. We will further read about the coprime number in detail. We will also discuss the coprime numbers from 1 to 100.

Co prime Number Definition:

The coprime number definition states that If the two numbers a and b have only one divisor in common, then a and b are relatively prime. In this case, (a, b) are called disjoint pairs. The HCF of two coprime numbers is always 1. Because 9 and 5 are coprime numbers, HCF (5, 9) = 1. The product of two coprime numbers is every time their Least Common Multiple (LCM). 9 and 5 are coprime numbers, for example. As a result, LCM (5, 9) = 45. With each number, 1 forms a coprime number pair. Because they always have two as a common factor, two even numbers cannot be coprime. If the GCF of two numbers is 1, they are coprime, and vice versa. Coprime numbers don’t need to be prime numbers. 12 and 35, for example, are coprime numbers, even though 12 and 35 are NOT prime numbers.

Co prime Number Example:

Every number is coprime with 1. Two prime numbers that appear to be coprime are as follows: Since every prime number has only two factors: one and the number itself, the only thing two prime numbers have now in common is one. Two prime numbers, for example, were 2 and 3. One and two were two-digit factors, and just one or three were three-digit factors. They are coprime because they only share one element. Let us take an example to see how to find coprime numbers. 
  • Take the example of numbers 12 and 14
The factors 12 are 1,2,3,4,6 and 12. The factors of 14 are 1,2,7 and 14. The common factors are 1 and 2. Therefore these two numbers are not coprime.
  • Take the example of numbers 12 and 11
The factors 12 are 1,2,3,4,6 and 12. The factors of 11 are 1 and 11. The common factor is one only. Therefore these two numbers are coprime.
  • Take the example of numbers 10 and 9
The factors of 10 are 1,2,5 and 10. Factors 9 are 1,3 and 9. The common factor is one only. Therefore these two numbers are coprime.

Co prime Numbers from 1 to 100:

There are various co-prime numbers between 1 and 100. Some of them are listed below:
1,3 2,3 1,51 3,5 13,17
1,2 2,5 1,52 3,7 13,19
1,5 2,7 1,53 3,11 13,23
1,4 2,9 1,54 3,13 13,29
1,6 2,11 1,55 3,17 13,31
1,7 2,13 1,56 3,19 13,37
1,8 2,15 1,57 3,23 13,41
1,9 2,17 1,58 3,29 13,43
1,10 2,19 1,59 3,31 13,47
1,11 2,21 1,60 3,37 13,53
1,12 2,23 1,61 3,41 7,11
1,13 2,25 1,62 3,43 7,13
1,14 2,27 1,63 3,47 7,17
1,15 2,29 1,64 3,53 7,19
1,16 2,31 1,65 3,59 7,23
1,17 2,33 1,66 3,61 7,29
1,18 2,35 1,67 3,67 7,31
1,19 2,37 1,68 3,71 7,37
1,20 2,39 1,69 3,73 7,41
1,21 2,41 1,70 3,79 7,43
1,22 2,43 1,71 3,83 7,47
1,23 2,45 1,72 3,89 7,53
1,24 2,47 1,73 3,97 7,59
1,25 2,49 1,74 5,7 7,61
1,26 2,51 1,75 5,11 7,67
1,27 2,53 1,76 5,13 7,71
1,28 2,55 1,77 5,17 7,73
1,29 2,57 1,78 5,19 7,79
1,30 2,59 1,79 5,23 7,83

Conclusion:

Coprime numbers are numbers that have only one as their common factor. In this article, we discussed the concepts of coprime numbers. We learned that Every number is coprime with 1. We also learned that When we find the difference between two coprime numbers, we see that it can be any number. Coprime numbers do not necessarily have to be prime numbers. An example of coprime numbers is 8 and 15. We also discussed the coprime number definition and coprime number examples. After reading this article, I hope all the concepts related to coprime numbers will be clear.