GCF for 90 and 100
What is the Greatest Common Divisor of 90 and 100?
Answer
(Ten)
Finding GCF for 90 and 100 using all factors (divisors) listing
The first method to find GCF for numbers 90 and 100 is to list all factors for both numbers and pick the highest common one:
All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
So the Greatest Common Factor for 90 and 100 is 10
Finding GCF for 90 and 100 by Prime Factorization
The second method to find GCF for numbers 90 and 100 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 90: 2, 3, 3, 5
All Prime Factors of 100: 2, 2, 5, 5
As we can see there are Prime Factors common to both numbers: 2, 5
Now we need to multiply them to find GCF: 2 × 5 = 10
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
<a href="https://calculat.io/en/number/greatest-common-factor-of/90--100">What is the GCF of 90 and 100 - Calculatio</a>
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 75 | 100 | 25 |
| 76 | 100 | 4 |
| 77 | 100 | 1 |
| 78 | 100 | 2 |
| 79 | 100 | 1 |
| 80 | 100 | 20 |
| 81 | 100 | 1 |
| 82 | 100 | 2 |
| 83 | 100 | 1 |
| 84 | 100 | 4 |
| 85 | 100 | 5 |
| 86 | 100 | 2 |
| 87 | 100 | 1 |
| 88 | 100 | 4 |
| 89 | 100 | 1 |
| 90 | 100 | 10 |
| 91 | 100 | 1 |
| 92 | 100 | 4 |
| 93 | 100 | 1 |
| 94 | 100 | 2 |
| 95 | 100 | 5 |
| 96 | 100 | 4 |
| 97 | 100 | 1 |
| 98 | 100 | 2 |
| 99 | 100 | 1 |
| 100 | 100 | 100 |
| 101 | 100 | 1 |
| 102 | 100 | 2 |
| 103 | 100 | 1 |
| 104 | 100 | 4 |
About "Greatest Common Factor" Calculator
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.