Greatest Common Factor (GCF) Calculator
Input up to 8 integers (comma or space separated) to find their GCF and visualize their prime factorizations.
Result
The Greatest Common Factor (GCF) Calculator is an educational tool that computes the greatest common factor (GCF) of up to 8 positive integers using the Euclidean algorithm and prime factorization. Users input integers (separated by commas or spaces), and the calculator provides the GCF, a step-by-step explanation of the calculation, prime factorizations for each number, and a bar chart visualizing the prime factorization exponents.
How to Use the Greatest Common Factor (GCF) Calculator Online
Calculating the GCF is straightforward with the Greatest Common Factor (GCF) Calculator. Follow these steps for instant results.
Step-by-Step Instructions:
- Enter Numbers: Input 2 to 8 positive integers (e.g., 36, 60, 84) in the text field, separated by commas or spaces.
- Calculate: Click “Calculate GCF” to view results.
- Review Results:
- GCF: The greatest common factor (e.g., 12).
- Step-by-Step:
- Prime factorizations (e.g., 36 = 2² × 3², 60 = 2² × 3¹ × 5¹, 84 = 2² × 3¹ × 7¹).
- Common primes and minimum exponents (e.g., 2² × 3¹).
- GCF calculation (e.g., 12).
- Prime Factorizations: List of factors for each number.
- Bar Chart: Shows exponents of primes (e.g., 2, 3, 5, 7) for each number.
- Export (Optional): Use browser’s “Print” → “Save as PDF” to save results.
- Try Another: Enter a new set of numbers to recalculate.