To determine the Highest Common Factor (HCF) of two co-prime numbers, let's first understand what co-prime numbers are.
### Step-by-Step Explanation:
1. Definition of Co-prime Numbers:
Two numbers are said to be co-prime if they have no common factors other than 1. This means that their greatest common factor (or highest common divisor) is 1.
2. Understanding HCF (Highest Common Factor):
The HCF of two numbers is the largest number that divides both of them without leaving a remainder.
3. Analyzing Co-prime Numbers:
Given that co-prime numbers do not share any factors other than 1, there are no higher common divisors apart from 1. By definition, the only number that can divide both co-prime numbers without leaving a remainder is 1.
4. Conclusion:
Since the definition of co-prime numbers guarantees that they do not share any common factors other than 1, the HCF of two co-prime numbers must be 1.
### Final Answer:
The HCF of two co-prime numbers is equal to 1.
