Free Version
Moderate

# Common Factor of $2^n-3$ and $3^n -2$

NUMTH-RK$YOC Let$n$be a natural number. Which of the following statements imply$5 | \gcd(2^n-3,3^n-2)$? Select ALL that apply. A$5|n$. B$5|2^n-3$. C$n\equiv 1 \ \mathrm{mod } \ 4$. D$n\equiv 3 \ \mathrm{mod} \ 4\$.