# Factors of 14 and 17

## Factoring Common Factors of 14 and 17

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

=1, 2, 7, 14

### Factors of 17

=1, 17

The real common factors of 14,17 is 1

### LCM of 14 and 17

Multiples of 14= 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224,
Multiples of 17= 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221,

Least common multiple (LCM) of 14 and 17= 238

### HCF of 14 and 17

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

HCF of 14 and 17 = 1

### GCF of 14 and 17

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

GCF of 14 and 17 = 1

### LCD of 14 and 17

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

lowest common Denominator (LCD) of 14 and 17= 238

Solution

Converting factors of 14,17

Factors are numbers that can divide without remainder.

Factors of 14

14/1 = 14         gives remainder 0 and so are divisible by 1
14/2 = 7         gives remainder 0 and so are divisible by 2
14/7 = 2         gives remainder 0 and so are divisible by 7
14/14 = 1         gives remainder 0 and so are divisible by 14

Factors of 17

17/1 = 17         gives remainder 0 and so are divisible by 1
17/17 = 1         gives remainder 0 and so are divisible by 17

We get factors of 14,17 numbers by finding numbers that can divide 14,17 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 14,17 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 14,17

Getting factors is done by dividing 14,17 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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