coprime

• co-prime

co- +‎ prime

coprime (not comparable)

1. (number theory, of two or more positive integers) Having no positive integer factors in common, aside from 1.

   24 and 35 are coprime.

2. (number theory, of a positive integer) Having no positive integer factors, aside from 1, in common with one or more specified other positive integers.

   24 is coprime to 35.

3. (algebra, by extension, of two or more polynomials) Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0).
4. (ring theory, by extension) (of two or more ideals of a ring) Whose sum is the whole ring; (of two or more elements of a ring) generating the whole ring.

In mathematics, this adjective can be used in phrases like "A and B are coprime", "A is coprime to B", and, less commonly, "A is coprime with B".

• (having no factors in common): relatively prime
• (having no factors in common with): relatively prime

• coprimality
• coprimeness

• greatest common divisor

• meropic