GCF Calculator
Find the greatest common factor (GCD) with prime factors and step-by-step Euclidean algorithm.
Results
GCF (GCD)-
Prime Factors-
Euclidean Steps-
What is a GCF Calculator?
A Greatest Common Factor (GCF) calculator finds the largest positive integer that divides a set of numbers without leaving a remainder. It also shows the prime factorization of each number and the step-by-step Euclidean algorithm.
How to Use
- Enter two or more numbers separated by commas.
- Click Calculate to see the GCF, prime factors, and algorithm steps.
Frequently Asked Questions
What is the difference between GCF and GCD?
They are the same. GCF stands for Greatest Common Factor, while GCD stands for Greatest Common Divisor.
Can I enter more than two numbers?
Yes. The calculator will compute the GCF for all numbers you provide.
What is the Euclidean algorithm?
It is an efficient method for computing the GCD by repeatedly replacing the larger number with the remainder of dividing the two numbers: gcd(a,b) = gcd(b, a mod b).
Can I use negative numbers?
Yes. The calculator uses absolute values, so negative inputs are treated as positive.