Common Factors Calculator
Find common factors of two or more numbers. List all shared divisors.
Try:
How to Use
- Enter two or more numbers separated by commas or spaces
- Click "Find Common Factors"
- View all common factors and the GCF
- See individual factors for each number
What is Common Factors Calculator?
Common factors are numbers that divide evenly into two or more numbers. For example, the common factors of 12 and 18 are 1, 2, 3, and 6 because each of these numbers divides both 12 and 18 without leaving a remainder.
Formula
Finding Common Factors:
1. List all factors of each number
2. Identify factors that appear in all lists
3. The largest common factor is the GCF (Greatest Common Factor)
Examples
- Common factors of 12, 18: 1, 2, 3, 6 (GCF = 6)
- Common factors of 24, 36: 1, 2, 3, 4, 6, 12 (GCF = 12)
- Common factors of 15, 25: 1, 5 (GCF = 5)
- Common factors of 7, 11: 1 (both prime, GCF = 1)
FAQ
What's the difference between common factors and GCF?
Common factors are ALL numbers that divide evenly into the given numbers. The GCF (Greatest Common Factor) is specifically the LARGEST of these common factors.
What if two numbers have no common factors except 1?
Numbers with only 1 as a common factor are called 'coprime' or 'relatively prime'. For example, 8 and 15 are coprime because their only common factor is 1.
How are common factors useful?
Common factors are used to simplify fractions, find equivalent fractions, solve problems involving divisibility, and understand the relationships between numbers.