👉 Pair math, also known as co-prime arithmetic, is a mathematical concept where two integers are considered "pair prime" if their greatest common divisor (GCD) is exactly 1, meaning they share no common prime factors. This means that the only positive integer that divides both numbers is 1, making them relatively prime. Pair math is fundamental in number theory, cryptography, and various algorithms, as it ensures unique factorization and simplifies operations like modular arithmetic. For example, 8 and 15 are pair prime because their only common divisor is 1, despite both being divisible by 1 and other factors like 2 or 3.