Multiple choice

Mark the correct alternative of the following. The greatest number which divides $134$ and $167$ leaving $2$ as remainder in each case is?

  1. $14$
  2. $19$
  3. $33$
  4. $17$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The number must divide (134-2) and (167-2) exactly. GCD(132, 165). 132 = 33 * 4, 165 = 33 * 5. The greatest common divisor is 33.

AI explanation

Subtract the remainder 2 from both numbers to get 132 and 165. Find the highest common factor of 132 and 165 by prime factorization: 132 is 2 times 2 times 3 times 11, and 165 is 3 times 5 times 11. The HCF is 3 times 11, which equals 33.

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