Padasalai
Academic Toolkit

Prime Factorization & GCF/LCM Finder

Break any whole number into its prime factors and compare up to four values to reveal their greatest common factor and least common multiple. Designed for classrooms, revision, and fast engineering calculations with full step-by-step transparency.

Prime Factorization
Enter any integer with absolute value of 2 or more to see its prime expansion and every division used along the way.
GCF & LCM Calculator
Compare two to four integers. The tool uses the Euclidean algorithm and prime breakdowns to explain the results.

How to use this calculator

  1. Step 1
    Factor a single number
    Type any whole number with an absolute value of two or greater, press Factorize, and review the formatted prime expansion with working steps.
  2. Step 2
    Compare multiple values
    Provide two to four integers, then calculate their greatest common factor and least common multiple with Euclidean algorithm steps.
  3. Step 3
    Review the breakdown
    Scan the prime breakdown cards to understand how shared factors inform both the GCF and LCM results for the group.
  4. Step 4
    Share or save the output
    Copy the monospaced working lines directly into homework answers, classroom slides, or engineering notes without extra formatting.
Step-by-step clarity
Watch every division and remainder as the tool breaks numbers down into prime building blocks.
GCF & LCM combined
Compare up to four numbers at once to get the greatest common factor and least common multiple instantly.
Classroom ready output
Copy the formatted factorization and share the working, built for lessons, homework, and project notes.
Revision companion
Confirm textbook answers or guide independent study with a clear stream of factoring steps.
Tutoring sessions
Project the walkthrough, pause on each remainder, and reinforce number theory concepts live.
Engineering shortcuts
Quickly compare component cycles or measurement sets by finding shared factors and repeat intervals.

FAQs

Which numbers can I enter?
Enter whole numbers between -1,000,000,000,000 and 1,000,000,000,000. At least one value must be non-zero for GCF and LCM calculations.
How are prime factors found?
We use repeated division by prime candidates, stopping once the divisor squared is larger than the remaining value. Every division is captured in the step-by-step log.
What happens with zero or negative values?
Prime factorization is defined for absolute values of 2 or more. For GCF and LCM, zero is supported—GCF follows the non-zero partner and LCM collapses to zero when any input is zero.