If a, b are two distinct prime number than highest common factor of a, b is
2025
If a, b are two distinct prime number than highest common factor of a, b is
- A.
None of the above
- B.
2
- C.
1
- D.
ab
Attempted by 210 students.
Show answer & explanation
Correct answer: C
Answer: 1
Reason: If p and q are distinct prime numbers, they have no common prime factors, so their only common divisor is 1.
Step 1: Let p and q be distinct primes.
Step 2: Any common divisor greater than 1 would have to be a prime that divides both p and q, which is impossible because p and q are distinct primes.
Step 3: Therefore the greatest common divisor (HCF) is 1.
Example: For 3 and 5, the common divisors are only 1, so HCF = 1.