# Factors of 12 and 15

## Factoring Common Factors of 12 and 15

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

### Factors of 12

=1, 2, 3, 4, 6, 12

### Factors of 15

=1, 3, 5, 15

The real common factors of 12,15 is 1, 3

### LCM of 12 and 15

Multiples of 12= 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168,
Multiples of 15= 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165,

Least common multiple (LCM) of 12 and 15= 60

### HCF of 12 and 15

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

HCF of 12 and 15 = 3

### GCF of 12 and 15

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

GCF of 12 and 15 = 3

### LCD of 12 and 15

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

lowest common Denominator (LCD) of 12 and 15= 120

Solution

Converting factors of 12,15

Factors are numbers that can divide without remainder.

Factors of 12

12/1 = 12         gives remainder 0 and so are divisible by 1
12/2 = 6         gives remainder 0 and so are divisible by 2
12/3 = 4         gives remainder 0 and so are divisible by 3
12/4 = 3         gives remainder 0 and so are divisible by 4
12/6 = 2         gives remainder 0 and so are divisible by 6
12/12 = 1         gives remainder 0 and so are divisible by 12

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

We get factors of 12,15 numbers by finding numbers that can divide 12,15 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 12,15 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 12,15

Getting factors is done by dividing 12,15 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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