Question

Show that the number 143 and 187 are not co-primes

Answer 1

Concept we will be using:
i) Two numbers are said to be co-prime, if their HCF is 1.
------------------------------------------------------------------------------------
Solution:

The given two numbers are 143 and 187.

To check whether the two numbers are co-prime or not, we have to find the HCF.

Step 1: Prime factorize both the numbers.
143 = 13 x 11
187 = 17 x 11

Step 2: Identify the HCF (highest common factor).
Observe that, the two numbers have only 11 as the common factor.
HCF = 11

Therefore, 143 and 187 are not co-prime because their HCF is 11 and not 1.

Answer : 143 and 187 are not co-prime because their HCF is 11.