Coprime Integers/Examples/2 and 5
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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