Coprime Integers/Examples/5 and 12
Jump to navigation
Jump to search
Example of Coprime Integers
$5$ and $12$ are coprime.
Proof
The positive divisors of $5$ are $1$ and $5$.
The positive divisors of $12$ are $1$, $2$, $3$, $4$, $6$ and $12$.
The only integer in common between them is $1$.
Hence the result by definition of coprime.
$\blacksquare$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): relatively prime (coprime)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): relatively prime (coprime)