Quantitative Aptitude • Number System & SimplificationEasy
What is the HCF (highest common factor) of 143 and 91?
A. 1,001
B. 13✓ Correct Answer
C. 26
D. 39
💡 Solution & Explanation
Write both numbers using a common factor: 143 = 13 × 11 and 91 = 13 × 7. The numbers 11 and 7 have no common factor other than 1, so nothing larger than 13 divides both. Therefore the HCF of 143 and 91 is 13. A quick check: the HCF must also divide the difference of the two numbers, and 52 ÷ 13 = 4.
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