Calcolatore del Massimo Comune Divisore — Formula
## How to Find the Greatest Common Factor
### Methods
**Method 1: Prime Factorization**
1. Find the prime factors of each number
2. Identify the common prime factors
3. Multiply the common factors together
**Method 2: Euclidean Algorithm**
1. Divide the larger number by the smaller
2. Replace the larger number with the remainder
3. Repeat until the remainder is 0
4. The last non-zero remainder is the GCF
### Useful Identity
**GCF(a, b) × LCM(a, b) = a × b**
### Methods
**Method 1: Prime Factorization**
1. Find the prime factors of each number
2. Identify the common prime factors
3. Multiply the common factors together
**Method 2: Euclidean Algorithm**
1. Divide the larger number by the smaller
2. Replace the larger number with the remainder
3. Repeat until the remainder is 0
4. The last non-zero remainder is the GCF
### Useful Identity
**GCF(a, b) × LCM(a, b) = a × b**
Esempio Risolto
Find the GCF of 48 and 36.
- Prime factorization of 48: 2⁴ × 3 = 2 × 2 × 2 × 2 × 3
- Prime factorization of 36: 2² × 3² = 2 × 2 × 3 × 3
- Common factors: 2² × 3 = 4 × 3
- GCF(48, 36) = 12