GCF for 100 and 120
What is the Greatest Common Divisor of 100 and 120?
Answer
(Twenty)
Finding GCF for 100 and 120 using all factors (divisors) listing
The first method to find GCF for numbers 100 and 120 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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
So the Greatest Common Factor for 100 and 120 is 20
Finding GCF for 100 and 120 by Prime Factorization
The second method to find GCF for numbers 100 and 120 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 120: 2, 2, 2, 3, 5
As we can see there are Prime Factors common to both numbers: 2, 2, 5
Now we need to multiply them to find GCF: 2 × 2 × 5 = 20
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/100--120">What is the GCF of 100 and 120 - Calculatio</a>
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 85 | 120 | 5 |
| 86 | 120 | 2 |
| 87 | 120 | 3 |
| 88 | 120 | 8 |
| 89 | 120 | 1 |
| 90 | 120 | 30 |
| 91 | 120 | 1 |
| 92 | 120 | 4 |
| 93 | 120 | 3 |
| 94 | 120 | 2 |
| 95 | 120 | 5 |
| 96 | 120 | 24 |
| 97 | 120 | 1 |
| 98 | 120 | 2 |
| 99 | 120 | 3 |
| 100 | 120 | 20 |
| 101 | 120 | 1 |
| 102 | 120 | 6 |
| 103 | 120 | 1 |
| 104 | 120 | 8 |
| 105 | 120 | 15 |
| 106 | 120 | 2 |
| 107 | 120 | 1 |
| 108 | 120 | 12 |
| 109 | 120 | 1 |
| 110 | 120 | 10 |
| 111 | 120 | 3 |
| 112 | 120 | 8 |
| 113 | 120 | 1 |
| 114 | 120 | 6 |
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.