# Factors of 13 and 16

## Factoring Common Factors of 13 and 16

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

=1, 13

### Factors of 16

=1, 2, 4, 8, 16

The real common factors of 13,16 is 1

### LCM of 13 and 16

Multiples of 13= 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195,
Multiples of 16= 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192,

Least common multiple (LCM) of 13 and 16= 208

### HCF of 13 and 16

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

HCF of 13 and 16 = 1

### GCF of 13 and 16

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

GCF of 13 and 16 = 1

### LCD of 13 and 16

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

lowest common Denominator (LCD) of 13 and 16= 208

Solution

Converting factors of 13,16

Factors are numbers that can divide without remainder.

Factors of 13

13/1 = 13         gives remainder 0 and so are divisible by 1
13/13 = 1         gives remainder 0 and so are divisible by 13

Factors of 16

16/1 = 16         gives remainder 0 and so are divisible by 1
16/2 = 8         gives remainder 0 and so are divisible by 2
16/4 = 4         gives remainder 0 and so are divisible by 4
16/8 = 2         gives remainder 0 and so are divisible by 8
16/16 = 1         gives remainder 0 and so are divisible by 16

We get factors of 13,16 numbers by finding numbers that can divide 13,16 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 13,16 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 13,16

Getting factors is done by dividing 13,16 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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