coprime; relatively prime
Mathematical term for integers whose greatest common divisor is 1. Used as a noun or adjectival noun.
8 and 15 are coprime.
disjoint (sets)
Mathematical term for sets that have no elements in common. Less common than the number-theoretic sense.
Choose two integers that are relatively prime.
When sets A and B are disjoint, their intersection is the empty set.
Compound of 互いに (tagai ni, 'mutually') and 素 (so, 'prime' or 'elementary'). The mathematical usage is a direct translation of the English terms 'coprime' and 'disjoint'.