Quantitative Aptitude • Number System & SimplificationEasy
What is the HCF (highest common factor) of 35 and 50?
A. 10
B. 350
C. 5✓ Correct Answer
D. 15
💡 Solution & Explanation
Write both numbers using a common factor: 35 = 5 × 7 and 50 = 5 × 10. The numbers 7 and 10 have no common factor other than 1, so nothing larger than 5 divides both. Therefore the HCF of 35 and 50 is 5. A quick check: the HCF must also divide the difference of the two numbers, and 15 ÷ 5 = 3.
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