common factor

Mutual number divider

A common factor is a number that divides evenly into two or more other numbers.

The numbers 12 and 18 share the common factors 2, 3, and 6.

Finding common factors helps simplify fractions and solve problems requiring shared divisibility.

The greatest common factor is the largest such number—for 12 and 18, it's 6.

arithmetic

divisor

Number you split by

multiple · divisible · factorization · numerator · denominator · fraction · quotient · remainder · dividend · prime factorization

simplification

reduce

Make smaller in degree

denominator · fraction · equivalent · ratio · proportion · cross-multiply · streamline · condense

algebra

polynomial

Expression with variable terms

equation · term · monomial · binomial · trinomial · simplify · cancel · reduce · algebraic · constant

Categories
Opposites
mathematical divisibility

common factorcommon multiple

Number divisible by each

least common multiple · multiple · product · prime number · irreducible

shared versus unique elements

common factorpoint of difference

Distinguishing characteristic between things

differentiator · difference · dissimilarity · anomaly · discrepancy

Family

common, factor, commonly, commonness, commons, commoner, commonest, uncommon, uncommonly

Familiarity
Top 100,000
Profile
Known to kids · Used worldwide · Timeless · Abstract · Everyday, not technical · Rated G