What is the HCF of 2 consecutive odd numbers?

The highest common factor(HCF) or the greatest common factor(GCF) is the maximum possible number that exactly divides the given set of numbers.

Answer: The HCF of 2 consecutive odd numbers is 1.

The consecutive odd numbers cannot have a common factor other than 1. For example, 3 and 5 do not have any common factors except 1.

Explanation:

We can clearly see that the consecutive numbers in the set of odd numbers { 1, 3, 5, 7, 9, 11, 13, ...........} has the only common factor as 1. 

HCF of any two consecutive numbers = 1

HCF of any two consecutive odd numbers = 1

HCF of any two consecutive even numbers = 2

Therefore, The HCF of 2 consecutive odd numbers is 1.