Which of the following pairs of numbers are co-prime?

Correct option is D

Given:

Given pair are (133,171), (65,91), (51,119) , (59,97)

Formula Used:

The co-prime numbers area numbers which have no common factors other than 1

Solution:

For (133,171)

Factors of 133 and 171 are:

133 = $$1 \times 7 \times 19$$​

171 = $$1 \times 9 \times 19$$​​

Here 19 is common factor other than 1 hence 133 and 171 are not co-prime numbers

For(65,91)

Factors of 65 and 91 are:

65 = $$1 \times 5 \times 13$$​​

91 = $$1 \times 7 \times 13$$​​

Here 13 is common factor other than 1 hence 65 and 91 are no co-prime numbers

For (51,119)

Factors of 51 and 119 are:

51 = $$1 \times 3 \times 17$$​​

119 =$$1 \times 7 \times 17$$​​

Here 17 is common factor other than 1 hence 51 and 119 are not co-prime numbers

For (59,97)

Factors of 59 and 97 are:

59 =$$1 \times 59$$​​

97 = $$1 \times 97$$​​

Here only common factor is 1 hence 59 and 97 are co-prime numbers