# Factors of 17 and 20

## Factoring Common Factors of 17 and 20

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

=1, 17

### Factors of 20

=1, 2, 4, 5, 10, 20

The real common factors of 17,20 is 1

### LCM of 17 and 20

Multiples of 17= 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323,
Multiples of 20= 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320,

Least common multiple (LCM) of 17 and 20= 340

### HCF of 17 and 20

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

HCF of 17 and 20 = 1

### GCF of 17 and 20

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

GCF of 17 and 20 = 1

### LCD of 17 and 20

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

lowest common Denominator (LCD) of 17 and 20= 340

Solution

Converting factors of 17,20

Factors are numbers that can divide without remainder.

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

Factors of 20

20/1 = 20         gives remainder 0 and so are divisible by 1
20/2 = 10         gives remainder 0 and so are divisible by 2
20/4 = 5         gives remainder 0 and so are divisible by 4
20/5 = 4         gives remainder 0 and so are divisible by 5
20/10 = 2         gives remainder 0 and so are divisible by 10
20/20 = 1         gives remainder 0 and so are divisible by 20

We get factors of 17,20 numbers by finding numbers that can divide 17,20 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 17,20 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 17,20

Getting factors is done by dividing 17,20 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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