Question
Download Solution PDFThe HCF of the smallest prime number and the smallest composite number is.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept -
Prime Number - A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The smallest prime number is 2 because it's divisible only by 1 and 2.
Composite Number - A composite number is a number greater than 1 that has more than two divisors. It's not a prime number. The smallest composite number is 4 because it has divisors other than 1 and the number itself (divisible by 1, 2, and 4).
Explanation -
The smallest prime number is 2, and the smallest composite number (a number with more than two factors) is 4.
The highest common factor (HCF) is the largest number that divides both numbers without leaving a remainder.
In this case, both 2 and 4 share 2 as a common factor.
Therefore, the HCF of the smallest prime number (2) and the smallest composite number (4) is 2.
Hence option (3) is correct.
Last updated on Jul 3, 2025
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