Math Definitions - Letter H

Highest Common Factor

Definition of Highest Common Factor

Definition of Highest Common Factor

The highest common factor of two numbers is the largest number that divides evenly into both numbers.

To find it, we write down all the factors of both numbers, and choose the largest number out of these that is a factor of both numbers.

It is abbreviated as "HCF".

Other names for the Highest Common Factor are the "Greatest Common Factor" and the "Greatest Common Divisor".

For example, the HCF of \(24\) and \(36\) is \(12\) because both numbers have common factors of \(1\), \(2\), \(3\), \(4\), \(6\) and \(12\), and \(12\) is the largest of these.


The aim of this dictionary is to provide definitions to common mathematical terms. Students learn a new math skill every week at school, sometimes just before they start a new skill, if they want to look at what a specific term means, this is where this dictionary will become handy and a go-to guide for a student.


Year 1 to Year 12 students

Learning Objectives

Learn common math terms starting with letter H

Author: Subject Coach
Added on: 6th Feb 2018

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