Two consecutive numbers are/are not co-prime

Answer

To determine whether two consecutive numbers are co-prime, we can follow these steps:

### Step-by-Step Solution

1. **Define Consecutive Numbers**:
- Consecutive numbers are numbers that follow each other in order. For example, 2 and 3, or 5 and 6.

2. **Choose Two Consecutive Numbers**:
- Let's take the consecutive numbers 2 and 3 as an example.

3. **Find the Factors of Each Number**:
- The factors of 2 are: 1, 2
- The factors of 3 are: 1, 3

4. **Identify Common Factors**:
- The common factors of 2 and 3 are: 1 (since both numbers share this factor).

5. **Determine the Highest Common Factor (HCF)**:
- The highest common factor (HCF) of 2 and 3 is 1.

6. **Conclusion**:
- Since the HCF of the two consecutive numbers is 1, we conclude that 2 and 3 are co-prime.
- Therefore, we can generalize that two consecutive numbers are co-prime.

### Final Answer:
Two consecutive numbers are co-prime.

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