Question
Download Solution PDFWhich of the following is a pair of co-prime numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
Co-prime numbers are pairs of numbers that have no common divisor other than 1.
Calculation:
Option 1: 52 and 24
Prime factors of 52 = 2 × 2 × 13
Prime factors of 24 = 2 × 2 × 2 × 3
Common factors: 2
⇒ Not co-prime
Option 2: 81 and 16
Prime factors of 81 = 3 × 3 × 3 × 3
Prime factors of 16 = 2 × 2 × 2 × 2
Common factors: None
⇒ Co-prime
Option 3: 455 and 49
Prime factors of 455 = 5 × 7 × 13
Prime factors of 49 = 7 × 7
Common factors: 7
⇒ Not co-prime
Option 4: 363 and 77
Prime factors of 363: 3 × 11 × 11
Prime factors of 77: 7 × 11
Common factors: 11
⇒ Not co-prime
∴ The correct answer is option 2.
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