GCF for 58 and 87
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 58 and 87?
Answer: GCF of 58 and 87 is 29
(Twenty-nine)
Finding GCF for 58 and 87 using all factors (divisors) listing
The first method to find GCF for numbers 58 and 87 is to list all factors for both numbers and pick the highest common one:
All factors of 58: 1, 2, 29, 58
All factors of 87: 1, 3, 29, 87
So the Greatest Common Factor for 58 and 87 is 29
Finding GCF for 58 and 87 by Prime Factorization
The second method to find GCF for numbers 58 and 87 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 58: 2, 29
All Prime Factors of 87: 3, 29
As we can see there is only one Prime Factor common to both numbers. It is 29
So 29 is the Greatest Common Factor of 58 and 87
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 43 | 87 | 1 |
| 44 | 87 | 1 |
| 45 | 87 | 3 |
| 46 | 87 | 1 |
| 47 | 87 | 1 |
| 48 | 87 | 3 |
| 49 | 87 | 1 |
| 50 | 87 | 1 |
| 51 | 87 | 3 |
| 52 | 87 | 1 |
| 53 | 87 | 1 |
| 54 | 87 | 3 |
| 55 | 87 | 1 |
| 56 | 87 | 1 |
| 57 | 87 | 3 |
| 58 | 87 | 29 |
| 59 | 87 | 1 |
| 60 | 87 | 3 |
| 61 | 87 | 1 |
| 62 | 87 | 1 |
| 63 | 87 | 3 |
| 64 | 87 | 1 |
| 65 | 87 | 1 |
| 66 | 87 | 3 |
| 67 | 87 | 1 |
| 68 | 87 | 1 |
| 69 | 87 | 3 |
| 70 | 87 | 1 |
| 71 | 87 | 1 |
| 72 | 87 | 3 |
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 58 and 87? (The answer is: 29). Select the first number (e.g. '58') and the second number (e.g. '87'). 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