GCF for 100 and 500
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 100 and 500?
Answer: GCF of 100 and 500 is 100
(Hundred)
Finding GCF for 100 and 500 using all factors (divisors) listing
The first method to find GCF for numbers 100 and 500 is to list all factors for both numbers and pick the highest common one:
All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
All factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
So the Greatest Common Factor for 100 and 500 is 100
Finding GCF for 100 and 500 by Prime Factorization
The second method to find GCF for numbers 100 and 500 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 100: 2, 2, 5, 5
All Prime Factors of 500: 2, 2, 5, 5, 5
As we can see there are Prime Factors common to both numbers: 2, 2, 5, 5
Now we need to multiply them to find GCF: 2 × 2 × 5 × 5 = 100
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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 100 and 500? (The answer is: 100). Select the first number (e.g. '100') and the second number (e.g. '500'). 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
"Greatest Common Factor" Calculator
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 85 | 500 | 5 |
| 86 | 500 | 2 |
| 87 | 500 | 1 |
| 88 | 500 | 4 |
| 89 | 500 | 1 |
| 90 | 500 | 10 |
| 91 | 500 | 1 |
| 92 | 500 | 4 |
| 93 | 500 | 1 |
| 94 | 500 | 2 |
| 95 | 500 | 5 |
| 96 | 500 | 4 |
| 97 | 500 | 1 |
| 98 | 500 | 2 |
| 99 | 500 | 1 |
| 100 | 500 | 100 |
| 101 | 500 | 1 |
| 102 | 500 | 2 |
| 103 | 500 | 1 |
| 104 | 500 | 4 |
| 105 | 500 | 5 |
| 106 | 500 | 2 |
| 107 | 500 | 1 |
| 108 | 500 | 4 |
| 109 | 500 | 1 |
| 110 | 500 | 10 |
| 111 | 500 | 1 |
| 112 | 500 | 4 |
| 113 | 500 | 1 |
| 114 | 500 | 2 |
FAQ
What is the Greatest common Divisor of 100 and 500?
GCF of 100 and 500 is 100
See Also
- What is the GCF of 99 and 165
- What is the GCF of 100 and 120
- What is the GCF of 100 and 125
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- What is the GCF of 100 and 250
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- What is the GCF of 105 and 140
- What is the GCF of 105 and 180
- Наибольший общий делитель 100 и 500