Advanced Common Factor Calculator

Find GCD, LCM, and common factors with interactive visualization and step-by-step solutions

🔢 Factor Calculator

Enter numbers to find common factors and GCD/LCM

Numbers (comma or space separated)

📊 Results

GCD, LCM, and factor analysis

GCD (Greatest Common Divisor) 6

LCM (Least Common Multiple) 72

Input Numbers 12, 18, 24

Common Factors Count 4

Common Factors 1, 2, 3, 6

All Common Factors:

Calculation steps will appear here...

📈 Factor Analysis

Visual representation of factors

🎯 3D Factor Visualization

Interactive factor relationship model

Drag to rotate • Scroll to zoom
Different colors represent different numbers

Understanding Common Factors

Common factors are numbers that divide evenly into two or more given numbers. The Greatest Common Divisor (GCD) is the largest common factor, while the Least Common Multiple (LCM) is the smallest number that all given numbers divide into evenly.

Greatest Common Divisor (GCD)

The largest positive integer that divides each number without remainder
Also called Greatest Common Factor (GCF)

Least Common Multiple (LCM)

The smallest positive integer that is divisible by each number
Used in fraction operations and scheduling problems

Applications

Simplifying fractions, solving Diophantine equations, cryptography, and scheduling problems.