# Factors of 15 and 18

## Factoring Common Factors of 15 and 18

Use the form below to do your conversion, separate numbers by comma.

=1, 3, 5, 15

### Factors of 18

=1, 2, 3, 6, 9, 18

The real common factors of 15,18 is 1, 3

### LCM of 15 and 18

Multiples of 15= 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255,
Multiples of 18= 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252,

Least common multiple (LCM) of 15 and 18= 90

### HCF of 15 and 18

Highest common factor (HCF) is calculated using real common factors above

HCF of 15 and 18 = 3

### GCF of 15 and 18

Greatest common factor (GCF) is the same as Highest common factor (HCF)

GCF of 15 and 18 = 3

### LCD of 15 and 18

lowest common Denominator (LCD) is the same as Least common multiple (LCM)

lowest common Denominator (LCD) of 15 and 18= 180

Solution

Converting factors of 15,18

Factors are numbers that can divide without remainder.

Factors of 15

15/1 = 15         gives remainder 0 and so are divisible by 1
15/3 = 5         gives remainder 0 and so are divisible by 3
15/5 = 3         gives remainder 0 and so are divisible by 5
15/15 = 1         gives remainder 0 and so are divisible by 15

Factors of 18

18/1 = 18         gives remainder 0 and so are divisible by 1
18/2 = 9         gives remainder 0 and so are divisible by 2
18/3 = 6         gives remainder 0 and so are divisible by 3
18/6 = 3         gives remainder 0 and so are divisible by 6
18/9 = 2         gives remainder 0 and so are divisible by 9
18/18 = 1         gives remainder 0 and so are divisible by 18

We get factors of 15,18 numbers by finding numbers that can divide 15,18 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 15,18 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 15,18

Getting factors is done by dividing 15,18 with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

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