Question

Find the HCF of $m$ and $n$ if both are prime numbers.

Hint:

Remember:
HCF of two different primes = 1
Same primes → HCF is the number itself
This is a common objective question.

Answer 1

Concept:
A prime number has only two factors: $1$ and itself.
HCF (Highest Common Factor) is the greatest common factor of two numbers.
Case 1: $m$ and $n$ are different prime numbers Factors of $m$: $1, m$ Factors of $n$: $1, n$ Common factor = $1$ So, \[ \text{HCF}(m, n) = 1 \] Case 2: If $m = n$ (same prime) Then, \[ \text{HCF}(m, n) = m \] Conclusion: Generally, for two distinct prime numbers: \[ \boxed{1} \]