GCF for 51 and 119
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 51 and 119?
Answer: GCF of 51 and 119 is 17
(Seventeen)
Finding GCF for 51 and 119 using all factors (divisors) listing
The first method to find GCF for numbers 51 and 119 is to list all factors for both numbers and pick the highest common one:
All factors of 51: 1, 3, 17, 51
All factors of 119: 1, 7, 17, 119
So the Greatest Common Factor for 51 and 119 is 17
Finding GCF for 51 and 119 by Prime Factorization
The second method to find GCF for numbers 51 and 119 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 51: 3, 17
All Prime Factors of 119: 7, 17
As we can see there is only one Prime Factor common to both numbers. It is 17
So 17 is the Greatest Common Factor of 51 and 119
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 36 | 119 | 1 |
| 37 | 119 | 1 |
| 38 | 119 | 1 |
| 39 | 119 | 1 |
| 40 | 119 | 1 |
| 41 | 119 | 1 |
| 42 | 119 | 7 |
| 43 | 119 | 1 |
| 44 | 119 | 1 |
| 45 | 119 | 1 |
| 46 | 119 | 1 |
| 47 | 119 | 1 |
| 48 | 119 | 1 |
| 49 | 119 | 7 |
| 50 | 119 | 1 |
| 51 | 119 | 17 |
| 52 | 119 | 1 |
| 53 | 119 | 1 |
| 54 | 119 | 1 |
| 55 | 119 | 1 |
| 56 | 119 | 7 |
| 57 | 119 | 1 |
| 58 | 119 | 1 |
| 59 | 119 | 1 |
| 60 | 119 | 1 |
| 61 | 119 | 1 |
| 62 | 119 | 1 |
| 63 | 119 | 7 |
| 64 | 119 | 1 |
| 65 | 119 | 1 |
About "Greatest Common Factor" Calculator
This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 51 and 119? (The answer is: 17). Select the first number (e.g. '51') and the second number (e.g. '119'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder