Common Factor - GCSE Maths Definition

Reviewed by: Dan Finlay

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In GCSE Maths, a "Common Factor" refers to a number that is a factor of two or more given numbers. A factor is a whole number that divides another number exactly without leaving a remainder.
For example, if you are looking for the common factors of 12 and 16:

  • The factors of 12 are: 1, 2, 3, 4, 6, 12.

  • The factors of 16 are: 1, 2, 4, 8, 16.

  • The common factors are the numbers found in both lists: 1, 2, and 4.

Identifying common factors is a key skill in solving problems involving fractions, ratios, and algebraic expressions.

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Dan Finlay

Reviewer: Dan Finlay

Expertise: Maths Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

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