SSC MTS 2024 PYQ — Question 20

SSC MTS - 07/10/2024 - (4:00 PM - 5:30 PM) • Reasoning • Q20

The highest common factor of 84 and 108 is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12.

Prime factorization of 84 and 108:-

84 = 2 × 42 = 2 × 2 × 21 = 22 × 3 × 7 

108 = 2 × 54 = 2 × 2 × 27 = 22 × 33 

Hence HCF = 22 × 3 = 4 × 3 = 12