GCF Calculator

The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), is the largest number that divides two or more integers without leaving a remainder. Finding the GCF is useful in simplifying fractions, factoring algebraic expressions, and solving real-life problems. For example, the GCF of 48 and 64 is 16 because 16 is the largest number that divides both exactly.

Calculating the GCF manually can be time-consuming, especially for large numbers or multiple inputs. This online GCF calculator helps you quickly find the GCF of any set of numbers, shows step-by-step calculations, and even demonstrates the relationship between GCF and LCM.

• Accepts multiple numbers as input (comma-separated).
• Performs prime factorization for each number to identify common factors.
• Calculates the GCF by taking the minimum powers of common prime factors.
• Optionally uses the Euclidean Algorithm for verification (for 2 numbers).
• Shows all common divisors and verifies the GCF × LCM = Product relationship.
• Provides step-by-step explanations for better understanding.

Understanding the Greatest Common Factor is essential for mathematics, problem-solving, and practical applications like distribution, scaling, and optimization. Use this online GCF calculator to quickly find the GCF of any numbers, check all common divisors, and learn the step-by-step calculations.