The HCF (Highest Common Factor) of two consecutive positive integers is always 1.
Here's why:
- Consecutive integers differ by 1.
- Factors are numbers that divide evenly into another number.
- The only factor that two consecutive integers share is 1.
Example:
- Consider the consecutive integers 5 and 6.
- The factors of 5 are 1 and 5.
- The factors of 6 are 1, 2, 3, and 6.
- The only common factor is 1.
Therefore, the HCF of any two consecutive positive integers will always be 1.
