If a, b are two distinct prime number than a highest common factor of a, b is ___________ 201ab
Question
If a, b are two distinct prime numbers then the highest common factor of a, b is ___________
201ab
Solution
To solve for the highest common factor (HCF) of two distinct prime numbers and , we can follow these steps:
1. Break Down the Problem
- Identify what is meant by the highest common factor.
- Understand the properties of prime numbers.
2. Relevant Concepts
- The HCF (also known as GCD, greatest common divisor) of two numbers is the largest positive integer that divides both numbers without leaving a remainder.
- Prime numbers have exactly two distinct positive divisors: 1 and the number itself.
3. Analysis and Detail
- Since and are distinct prime numbers,
- The only common divisor they share is 1.
- Therefore, the highest common factor of and is:
4. Verify and Summarize
- For prime numbers and , the only factor they share is 1. Thus, we do not need to perform any additional calculations.
Final Answer
The highest common factor of and is .
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