Which of the following is a pair of co-primes?
i. (17,43)
ii. (31,93)

Given :

The given pair of numbers are (i) (17, 43) and  (ii)  (31, 93)   

To find :

We have to find the pair of co-primes among the given pair of numbers.  
 

Solution :

Co-prime : 

A pair of numbers which should have only one as the common factor.   

(i) (17, 43) 

Factors of $17 = 1, 17$.

Factors of $43 = 1, 43$.

The common factor of 17, 43 is 1.

Therefore,  (17, 43) is a pair of coprime.

(ii) (31 , 93)

Factors of $31 = 1, 31$.

Factors of $93 = 1, 3, 31, 93$.

The common factors of 31, 93 are 1, 31.

Therefore, (31, 93) is not a pair of coprime.

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Updated on: 10-Oct-2022

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