Coprime Integers/Examples/-9 and 16

From ProofWiki
Jump to navigation Jump to search

Example of Coprime Integers

$-9$ and $16$ are coprime.


Proof

The positive divisors of $-9$ are $1$, $3$ and $9$.

The positive divisors of $16$ are $1$, $2$, $4$, $8$ and $16$.

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

Hence the result by definition of coprime.

$\blacksquare$


Sources