Factors, GCF and LCM Calculator
Find factors, factor pairs, prime factorization, GCF or GCD, and LCM with exact integer arithmetic
Explore integer relationships
Choose a mode, enter whole integers, then review the exact result and prime factors
- 01Choose a modeFactors, GCF, or LCM.
- 02Enter integersUse spaces or commas.
- 03Review stepsSee factors and prime powers.
Calculation inputs
Enter integers, then choose a calculation.
Number analysis
Exact arithmetic, clearly bounded
Values use exact integer math. Each integer is limited to 1 trillion in absolute value, with up to 20 values for shared calculations.
FAQs
What is the difference between factors, GCF, GCD, and LCM?
Factors divide one integer exactly. GCF and GCD name the greatest shared divisor, while LCM is the smallest shared multiple.
Can I enter negative numbers?
Yes. Calculations use the absolute values and clearly note when a negative input was normalized.
How does the calculator handle zero?
Zero has infinitely many factors, GCF can include zero, and an LCM containing zero equals zero.
What input limits apply?
Each integer can be no greater than 1 trillion in absolute value, with up to 20 values for GCF or LCM.
How is prime factorization shown?
Each prime appears with its exponent, followed by a concise explanation of the powers used for GCF or LCM.