If p and q are two distinct prime numbers, then find their HCF.

Step 1: Understand the problem The problem is asking for the Highest Common Factor (HCF) of two distinct prime numbers p and q.

Step 2: Recall the properties of prime numbers A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, and so on.

Step 3: Understand the concept of HCF The Highest Common Factor (HCF) of two or more numbers is the greatest number that divides each of them without leaving a remainder.

Step 4: Apply the properties of prime numbers to the concept of HCF Since p and q are prime numbers and are distinct, they do not have any common factor other than 1. A prime number is only divisible by 1 and itself, and since p and q are distinct, they are not divisible by each other.

Step 5: Conclusion Therefore, the HCF of two distinct prime numbers p and q is 1.