Coprime Integers/Examples/-27 and -35
Jump to navigation
Jump to search
Example of Coprime Integers
$-27$ and $-35$ are coprime.
Proof
The positive divisors of $-27$ are $1$, $3$, $9$ and $27$.
The positive divisors of $-35$ are $1$, $5$, $7$ and $35$.
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: Theorem $2 \text{-} 3$: Corollary