common factor: meaning, definition, pronunciation and examples

B1
UK/ˌkɒm.ən ˈfæk.tə/US/ˌkɑː.mən ˈfæk.tɚ/

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Quick answer

What does “common factor” mean?

A number that divides exactly into two or more other numbers.

Audio

Pronunciation

Definition

Meaning and Definition

A number that divides exactly into two or more other numbers.

A feature, quality, or circumstance that is shared by and relevant to two or more people, groups, or things; a point of connection or similarity.

Dialectal Variation

British vs American Usage

Differences

No significant difference in meaning or usage. Spelling of related words may differ (e.g., factorise vs. factorize).

Connotations

Identical in both varieties.

Frequency

Slightly more frequent in UK educational contexts due to differences in primary/secondary mathematics curricula naming, but the term is standard in both.

Grammar

How to Use “common factor” in a Sentence

[Subject] has/shares a common factor with [Object].The common factor between/of [X] and [Y] is [Z].A common factor in [situation] is [element].

Vocabulary

Collocations

strong
greatest common factor (GCF)find a common factorshare a common factorhave a common factoridentify the common factor
medium
common factor incommon factor betweencommon factor amongonly common factorkey common factor
weak
obvious common factorunderlying common factorsingle common factorsignificant common factormajor common factor

Examples

Examples of “common factor” in a Sentence

verb

British English

  • We need to factorise the equation to find the common factor.

American English

  • We need to factor the equation to find the common factor.

adjective

British English

  • The common-factor analysis revealed underlying links.

American English

  • The common-factor analysis revealed underlying links.

Usage

Meaning in Context

Business

Used to analyze market trends or team dynamics, e.g., 'A common factor in our successful projects is clear communication.'

Academic

Frequent in mathematics, sociology, and comparative studies, e.g., 'The study sought to identify common factors in language acquisition.'

Everyday

Used to discuss shared experiences or traits, e.g., 'A common factor for everyone at the reunion was they all grew up here.'

Technical

Precise meaning in number theory and algebra; also used in data analysis to find correlations.

Vocabulary

Synonyms of “common factor”

Strong

common divisorgreatest common divisor (maths)

Neutral

shared factorcommon elementcommon denominatorcommon thread

Weak

point of similaritylinkconnection

Vocabulary

Antonyms of “common factor”

distinguishing featurepoint of differenceunique factordivisor

Watch out

Common Mistakes When Using “common factor”

  • Using 'common factor' to mean 'frequent cause' (better: 'common cause').
  • Confusing 'factor' with 'multiple'. A common factor divides numbers; a common multiple is a number they all divide into.

FAQ

Frequently Asked Questions

No, it originates from maths but is widely used figuratively in everyday language, business, and social sciences to denote a shared element.

In maths, they are different (factor vs. multiple). Figuratively, they are near synonyms, but 'common denominator' often implies a basic, sometimes lowest-level, shared trait.

In maths, list all factors of each number and find those that appear in all lists. Figuratively, compare items to identify shared features or causes.

In advanced mathematics, yes, factors can be negative. In most school-level contexts and general usage, common factors are understood as positive.

A number that divides exactly into two or more other numbers.

Common factor is usually formal to neutral in register.

Common factor: in British English it is pronounced /ˌkɒm.ən ˈfæk.tə/, and in American English it is pronounced /ˌkɑː.mən ˈfæk.tɚ/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • To have something in common (related concept)

Learning

Memory Aids

Mnemonic

Think of a FACTORY that makes the same part (FACTOR) for two different machines. That part is their COMMON FACTOR.

Conceptual Metaphor

UNDERLYING STRUCTURE IS A FOUNDATION (shared foundation), SIMILARITY IS A THREAD (common thread).

Practice

Quiz

Fill in the gap
A key in the breakdown of negotiations was the lack of trust.
Multiple Choice

In mathematics, what is the 'greatest common factor' of 24 and 36?