Standard Lemma guide

coprime

adj · 4 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

adj

Meaning 1

Having no positive integer factors in common, aside from 1.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, number-theory, sciences

Examples

  • 24 and 35 are coprime.

Meaning relationships

Synonyms: relatively prime

Antonyms: none provided

2

adj

Meaning 2

Having no positive integer factors, aside from 1, in common with one or more specified other positive integers.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, number-theory, sciences

Examples

  • 24 is coprime to 35.

Meaning relationships

Synonyms: relatively prime

Antonyms: none provided

3

adj

Meaning 3

Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0).

Definition source: English Wiktionary via Wiktextract

Usage: broadly, not-comparable

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

adj

Meaning 4

(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.

Definition source: English Wiktionary via Wiktextract

Usage: broadly, not-comparable

Qualifier: ring theory

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Etymology tree Proto-Indo-European *ḱe? Proto-Indo-European *ḱóm Proto-Italic *kom Proto-Italic *kom- Latin con- Latin co-der. English co- English prime English coprime From co- + prime.

Across languages

Translations

29 source translations are retained for this English entry.

  • Bulgarian: взаимно прости (vzaimno prosti) — (of two or more positive integers) having no factors in common
  • Chinese Cantonese: 互素 (wu6 sou3) — (of two or more positive integers) having no factors in common
  • Chinese Mandarin: 互質 /互质 (hùzhì, hùzhí) — (of two or more positive integers) having no factors in common
  • Chinese Mandarin: 互素 (hùsù) — (of two or more positive integers) having no factors in common
  • Czech: nesoudělný — (of two or more positive integers) having no factors in common
  • Finnish: keskenään jaottomia — (of two or more positive integers) having no factors in common
  • French: premiers entre eux — (of two or more positive integers) having no factors in common
  • German: teilerfremd — (of two or more positive integers) having no factors in common
  • German: relativ prim — (of two or more positive integers) having no factors in common
  • Hebrew: זר (zar) — (of two or more positive integers) having no factors in common
  • Hungarian: relatív prímek — (of two or more positive integers) having no factors in common
  • Icelandic: ósamþátta — (of two or more positive integers) having no factors in common
  • Icelandic: ósamþættur — (of two or more positive integers) having no factors in common
  • Indonesian: relatif prima — (of two or more positive integers) having no factors in common
  • Japanese: 互いに素 (tagai ni so) — (of two or more positive integers) having no factors in common
  • Korean: 서로소 (seoroso) — (of two or more positive integers) having no factors in common
  • Polish: względnie pierwszy — (of two or more positive integers) having no factors in common
  • Portuguese: coprimo — (of two or more positive integers) having no factors in common
  • Russian: взаи́мно просто́й (vzaímno prostój) — (of two or more positive integers) having no factors in common
  • Russian: взаи́мно просты́е (vzaímno prostýje) — (of two or more positive integers) having no factors in common
  • Swedish: relativt prima — (of two or more positive integers) having no factors in common
  • Turkish: aralarında asal — (of two or more positive integers) having no factors in common
  • Finnish: keskenään jaoton ... kanssa — (of a positive integer) having no factor in common with...
  • German: teilerfremd — (of a positive integer) having no factor in common with...
  • German: relativ prim — (of a positive integer) having no factor in common with...
  • Hebrew: זר (zár) — (of a positive integer) having no factor in common with...
  • Hungarian: relatív prím — (of a positive integer) having no factor in common with...
  • Polish: względnie pierwszy — (of a positive integer) having no factor in common with...
  • Portuguese: coprimo — (of a positive integer) having no factor in common with...