## Examples of Factors

### Example 1

Find the factor of $27$

First, we will find the numbers that multiplied together will result to $27$

Let’s start with $1$ times $27$ is equals to $27$

Then, $3$ times $9$ is $27$

Therefore, the factors of $27$ are: $1,3,9,27$

### Example 2

Find the factors of $18$

First, we will find the numbers that multiplied together will result to $18$

Let’s start with $1$ times $18$ is equals to $18$

Then, $2$ times $9$ is $18$

And lastly, $3$ times $6$ is $18$

Therefore, the factors of $18$ are: $1,2,3,6,9,18$

## Examples of Greatest Common Factor (GCF)

### Example 1

GCF of $14$ and $28$

First, list the factors of $14$ and $28$

Now we have, $14: 1, 2, 7, 14$ $28: 1, 2, 4, 7, 14, 28$

Therefore, the Greatest Common Factor is $14$

### Example 2

GCF of $24$ and $32$

First, list the factors of $24$ and $32$

Now we have, $24: 1, 2, 3, 4, 6, 8, 12, 24$ $28: 1, 2, 4, 8, 16, 32$

Therefore, the Greatest Common Factor is $8$

## Examples of Multiples

### Example 1

Multiples of $5$

In order to find the mutiples, we must multiply $5$ by an integer (not a fraction)

Therefore the multiples og $5$ are $5, 10, 15, 20, 25,30, 35$,…..

### Example 2

Multiples of $12$

In order to find the mutiples, we must multiply $12$ by an integer (not a fraction)

Therefore the multiples og $12$ are $12, 24, 36, 48, 60, 72$,…..

## Least Common Multiple (LCM)

### Example 1

Least Common Multiple (LCM) of $3$ and $5$

First, list down the multiples of each number $3: 3, 9, 12, 15, 18, 24$ $5: 5, 10, 15, 20$

Then, the first mutiple that occurs on both numbers is the LCM

Therefore, the LCM is $15$

### Example 2

Least Common Multiple (LCM) of $16$ and $24$

First, list down the multiples of each number $16: 16, 32, 48, 64$ $24: 24, 48, 72$

Then, the first mutiple that occurs on both numbers is the LCM

Therefore, the LCM is $48$

After you finish this lesson, view all of our Pre-Algebra lessons and practice problems.