GCF for 102 and 204
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 102 and 204?
Answer: GCF of 102 and 204 is 102
(One hundred two)
Finding GCF for 102 and 204 using all factors (divisors) listing
The first method to find GCF for numbers 102 and 204 is to list all factors for both numbers and pick the highest common one:
All factors of 102: 1, 2, 3, 6, 17, 34, 51, 102
All factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
So the Greatest Common Factor for 102 and 204 is 102
Finding GCF for 102 and 204 by Prime Factorization
The second method to find GCF for numbers 102 and 204 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 102: 2, 3, 17
All Prime Factors of 204: 2, 2, 3, 17
As we can see there are Prime Factors common to both numbers: 2, 3, 17
Now we need to multiply them to find GCF: 2 × 3 × 17 = 102
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 87 | 204 | 3 |
| 88 | 204 | 4 |
| 89 | 204 | 1 |
| 90 | 204 | 6 |
| 91 | 204 | 1 |
| 92 | 204 | 4 |
| 93 | 204 | 3 |
| 94 | 204 | 2 |
| 95 | 204 | 1 |
| 96 | 204 | 12 |
| 97 | 204 | 1 |
| 98 | 204 | 2 |
| 99 | 204 | 3 |
| 100 | 204 | 4 |
| 101 | 204 | 1 |
| 102 | 204 | 102 |
| 103 | 204 | 1 |
| 104 | 204 | 4 |
| 105 | 204 | 3 |
| 106 | 204 | 2 |
| 107 | 204 | 1 |
| 108 | 204 | 12 |
| 109 | 204 | 1 |
| 110 | 204 | 2 |
| 111 | 204 | 3 |
| 112 | 204 | 4 |
| 113 | 204 | 1 |
| 114 | 204 | 6 |
| 115 | 204 | 1 |
| 116 | 204 | 4 |
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 102 and 204? (The answer is: 102). Select the first number (e.g. '102') and the second number (e.g. '204'). 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