Real Numbers · Class 10 · CBSE Mathematics

What is the HCF of the smallest prime number and the smallest composite number?

Practice question from Real Numbers (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-965656

What is the HCF of the smallest prime number and the smallest composite number?

  1. A.1
  2. B.2Correct answer
  3. C.4
  4. D.8

Solution

The smallest prime number is 2, and the smallest composite number is 4. Their prime factorizations are 2=212 = 2^1 and 4=224 = 2^2. The HCF is the product of the smallest powers of each common prime factor, which is 21=22^1 = 2.

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