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Highest common factors

12 \ \ 48 \ \ 60

The Highest Common Factor (HCF) is the largest number that can divide evenly into two or more numbers. It is also called the greatest common divisor.

Simple Explanation

Imagine you have a big bucket of different types of candy. If you want to share the candies equally with your friends, the HCF would be the largest number of candies that you can divide equally between all of you.

Worked Example

For example, let’s find the HCF of 12 and 18. First, list out all the factors of each number:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18

The largest number that is common in both lists is 6, so the HCF of 12 and 18 is 6.

So if you had 12 candies and wanted to share them equally among 18 friends, you would give each friend 6 candies.