Multiple choice

Find the greatest number that will divide 50 and 74 leaving remainder 2 in each case.

  1. 36

  2. 25

  3. 24

  4. 12
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C Correct answer
Explanation

The number must divide (50 - 2) = 48 and (74 - 2) = 72. The greatest common divisor of 48 and 72 is 24.

AI explanation

To find the greatest number, we first subtract the remainder 2 from both numbers to get 48 and 72. We then find the highest common factor of 48 and 72 by prime factorization, giving 48 = 2^4 * 3 and 72 = 2^3 * 3^2. The highest common factor is 2^3 * 3, which equals 24. The greatest number is 24.

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