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Number and place value

Multiplication and division

Fractions

Measurement

Geometry - properties of shapes

Geometry - position and direction

Statistics

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Algebra

Maths

# Common factors and multiples 0%

Summary

# ​Common factors and multiples

## ​​In a nutshell

A multiple is a number you get when you multiply a certain number by a whole number. A factor is a number that divides into a certain number exactly with no remainder. Multiples and factors can be shared between different numbers.

## Common multiples

Common multiples are multiples which are the same between two or more numbers.

##### Example 1

What are all the common multiples of $6$ and $9$ between $1$ and $50$?

List all the multiples of $6$​ and $9$​ between $1$​ and $50$.

#### Multiples of $\bold9$​

$6$​​

$9$​​

$12$​​

$\bold{18}$​​

$\bold{18}$​​

$27$​​

$24$​​

$\bold{36}$​​

$30$​​

$45$​​

$\bold{36}$​​

$42$​​

$48$​​

Identify the common multiples in the table.

Common multiples of $6$ and $9$ are $\underline{18,36}$.

Note: There are an infinite number of common multiples between all numbers.

​​

## Common factors

Common factors are factors of two or more numbers which are the same.

##### Example 2

What are the common factors of $24$ and $16$?

Identify the factors of $24$.

Factors of $24$ are $1,2,3,4,6,8,12,24$

Identify the factors of $16$.

Factors of $16$ are $1,2,4,8,16$

Identify which factors are the same for $24$​ and $16$

Common factors of $16$ and $24$ are $\underline{1,2,4,8}$.

Note: By listing factors it is possible to find the highest common factor between numbers.

## Want to find out more? Check out these other lessons!

Multiples and factors

FAQs

• Question: What are common factors?

Answer: Common factors are factors of two or more numbers which are the same.

• Question: What is a common multiple?

Answer: Common multiples are multiples which are the same between two or more numbers.

Theory

Exercises