Number theory · Gcd · Divisibility · Powers of two
Determine the greatest common divisor of the numbers \(2^{2006}-1\) and \(2^{2004}-1\).
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Municipal Competition 2006, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source