Common Factor Calculator
Find common factors of two or three numbers.
Numbers Input
Enter whole numbers from 1 to 1,000,000. The third number is optional.
Common Factors
GCF (Greatest Common Factor)
6
All Common Factors
1, 2, 3, 6
Individual Factors:
12: 1, 2, 3, 4, 6, 12
18: 1, 2, 3, 6, 9, 18
24: 1, 2, 3, 4, 6, 8, 12, 24
About This Calculator
The Common Factor Calculator helps you find all common factors shared by two or three numbers. Common factors are numbers that divide evenly into all given numbers. The calculator also identifies the greatest common factor (GCF).
This calculator is useful for simplifying fractions, finding common denominators, solving problems involving divisibility, and understanding the relationships between numbers. You can input two or three numbers to find their common factors.
Formula & Calculation Method
Common Factors:
Finding Common Factors:
1. Find all factors of each number
2. Identify factors that appear in all lists
3. The largest common factor is the GCF
Example:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
Common Factors: 1, 2, 3, 6
GCF: 6
Common factors are useful for simplifying calculations and understanding number relationships. The greatest common factor (GCF) is the largest number that divides all given numbers without leaving a remainder.
How to Use This Calculator
- Enter Numbers: Input two or three numbers (third is optional).
- View Results: See all common factors and the GCF.
- See All Factors: View factors of each individual number.
- Use Results: Use common factors to simplify fractions or solve problems.
Frequently Asked Questions
What are common factors?
Common factors are numbers that divide evenly into all given numbers. For example, common factors of 12 and 18 are 1, 2, 3, and 6, because each of these divides both 12 and 18 without leaving a remainder.
What is the GCF?
GCF (Greatest Common Factor) is the largest number that divides all given numbers without leaving a remainder. For 12 and 18, the GCF is 6, which is the largest number that divides both.
Can I find common factors for more than three numbers?
This calculator supports two or three numbers. For more numbers, you can iteratively use the calculator or find common factors manually by listing factors and identifying shared ones.
How are common factors used?
Common factors are used for: simplifying fractions (divide numerator and denominator by GCF), finding common denominators, solving divisibility problems, and understanding number relationships in number theory.
NumCalculators Editorial Team
Multi-disciplinary Expert Team
The NumCalculators Editorial Team consists of subject matter experts across various fields who review and verify the accuracy of our calculators. Each calculator undergoes rigorous testing and validation before publication.