Question

Which of the following is an example of co-prime numbers?
A. 25,14
B. 18,16
C. 9,18
D. 11,77

Answer 1

Hint- Co-prime numbers are those which have their highest common factor as 1. In this question try to check each of the options and check which pair has HCF 1.

Complete step-by-step answer:
Check option A
25,14
Factorization of 25 $ = 5 \times 5 \times 1$
Factorization of 14 $ = 2 \times 7 \times 1$
Therefore, HCF of 25,14 = 1
Hence, option A is the right answer.

Note- For such types of questions first find the factors of both the numbers and then check if 1 is the only common factor between them and if it is true then we arrive at the desired answer. It is very important to know the definition of coprime for this type of question and one should also know how to factorize the number.