Which pair of numbers is relatively prime? a. 17 and 68 b. 15 and 231 c. 21 and 70 d. 62 and 105

D

Relatively prime means that the only common factor of the pairs of numbers is 1

A 17 and 68

factors of 17 are 1, 17

factors of 68 are 1, 2, 4 , 17,

Hence 17 and 68 are not relatively prime

B 15 and 231

factors of 15 are 1, 3, 5, 15

factors of 231 are 1, 3, 7, 11, ...

Hence 15 and 231 are not relatively prime

C 21 and 70

factors of 21 are 1, 3, 7, 21

factors of 70 are 1, 2, 5, 7, 10, ..

Hence 21 and 70 are not relatively prime

D 62 and 105

factors of 62 are 1, 2, 31, 62

factors of 105 are 1, 3, 5, 7, 15, 21,

The only common factor is 1, hence 62 and 105 are relatively prime

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