Question

Consecutive numbers are always co-prime.​

Answer 1

Step-by-step explanation:

The only common factor is 1, so they are coprime. ... Prime numbers are always coprime to each other. Any two consecutive integers are always coprime. Sum of any two coprime numbers is always coprime to their product.

Answer 2

When two numbers (they may not be prime) do not have any common factor other than one between them they are called co-prime or relatively prime.

• It is obvious that two prime numbers are always co-prime. For example,
• 17
• and
• 23
• .
• However, even two composite numbers can also be co-prime or relatively prime. For example
• 16
• and
• 25
• do not have any common factor other than one. Similarly
• 84
• and
• 65
• do not have any common factor and are hence co-prime.