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      Question

       Find the HCF and LCM of 24 and 36.

      A HCF = 12, LCM = 72 Correct Answer Incorrect Answer
      B HCF = 10, LCM = 48 Correct Answer Incorrect Answer
      C HCF = 22, LCM = 42 Correct Answer Incorrect Answer
      D HCF = 12, LCM = 65 Correct Answer Incorrect Answer

      Solution

      Prime factorization: 24 = 2³ × 3 36 = 2² × 3² HCF = product of common factors with least powers = 2² × 3 = 4 × 3 = 12 LCM = product of all prime factors with greatest powers = 2³ × 3² = 8 × 9 = 72 Answer: HCF = 12, LCM = 72

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