Are the number 454 and 237 co-prime numbers or not?

Two numbers are coprime if their highest common factor (or greatest common divisor if you must) is 1. In other words "Coprime" is a condition on a collection of numbers (usually a pair), not a number; it means they have no common factors.
For example,

5 and 7 are co prime number because

Factors of 5 = 1,5

Factors of 7 = 1,7

Common factors = 1 (Only)

Because 5 and 7 have only 1 common factor. Its mean 5 and 7 are co prime numbers.

Similarly,

454 and 234 are also co prime numbers because

Factors of 454 = 1,227,454

Factors of 234 = 1,79, 234

Common factors = 1

Thus here 454 and 234 have only 1 common factor. Its mean 454 and 234 are co prime numbers.