Coprime Integers/Examples/2 and 5

Example of Coprime Integers

$2$ and $5$ are coprime.

Proof

The divisors of $2$ are $1$ and $2$.

The divisors of $5$ are $1$ and $5$.

The only integer in common between them is $1$.

Hence the result by definition of coprime.

$\blacksquare$

Sources

• 1980: David M. Burton: Elementary Number Theory (revised ed.) ... (previous) ... (next): Chapter $2$: Divisibility Theory in the Integers: $2.2$ The Greatest Common Divisor