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A prime number is defined as a number that has no factor other than 1 and itself.
and
The co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.
So let's solve the question option wise
Option A: (22, 24) Factor that divides both of them are 1,2
Option B: (14, 21) Factors that divides both oh them are 1,7.
Option C: (17, 18) Factors that divide both of them is 1
Option C: (50, 52​) Factors that divide both oh them are 1,2
So (17,18) are co-prime numbers.