Which of the following pairs of numbers is co – prime ?

Which of the following pairs of numbers is co – prime ?

1. A
17, 35
2. B
10, 16
3. C
20, 24
4. D
31, 64

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Solution:

Concept: Find both numbers of factors  and see if they meet the requirement of being relatively prime to each other. If there are no common divisors other than 1, they are relatively prime.
7 and 35 have prime factors 1, 17, 17, 5, and 7, respectively. Therefore, there are no  common divisors other than 1. Therefore, they are relatively prime to each other. These are not co-prime numbers because (10,16), (20,24), and (31,64) each have a common prime number other than 1.
Hence, the correct answer is option (4).

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