Definitions For Coprime

Adjective

(not comparable) (number theory, of two or more positive integers) Having no positive integer factors in common, aside from 1. : (number theory, of a positive integer) Having no positive integer factors, aside from 1, in common with one or more specified other positive integers. : (algebra, by extension, of two or more polynomials) Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0). (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) generate, generating the whole ring.

Usage notes

Synonyms

having no factors in common relatively prime having no factors in common with relatively prime

Related terms

coprimality coprimeness

Translations

Bulgarian: взаимно прости, p Chinese: : Cantonese: 互素 (wu6 sou3) : Mandarin: 互質, tr=hùzhì, hùzhí, 互素, tr=hùsù Czech: nesoudělný Finnish: keskenään jaoton, jaottomia, p French: premiers entre eux German: teilerfremd, relativ prim Hebrew: זר, tr=zar Hungarian: relatív prímek, p Icelandic: ósamþátta, m, ósamþættur, m Indonesian: relatif prima Japanese: 互いに素, tr=tagai ni so Korean: 서로소 Polish: względnie pierwsze, p Portuguese: coprimo Russian: взаи́мно просто́й, взаи́мно просты́е, p Swedish: relativt prima Turkish: aralarında asal Finnish: keskenään jaoton ... kanssa German: teilerfremd, relativ prim Hebrew: זר, tr=zár Hungarian: relatív prím Polish: względnie pierwsza, f Portuguese: coprimo

Alternative forms

co-prime

Etymology

co + prime

See also

greatest common divisor

Anagrams

meropic