Answer to Question #129107 in Discrete Mathematics for Hazha

Question

13 and 65 are relatively prime? True or false

Answer 1

Definition. Two numbers are called relatively prime (coprime) if their greatest common divisor (gcd) being 1. (https://en.wikipedia.org/wiki/Coprime_integers)

In our case,

$$65=13\times5\longrightarrow \gcd(13;65)=13\neq1$$

.

Conclusion,

$$\boxed{\text{Numbers 13 and 65 are not coprime}}$$

ANSWER

$$FALSE$$