GCF Calculator
Find the Greatest Common Factor of two or more numbers
About Greatest Common Factor
What is GCF?
The Greatest Common Factor (GCF), also known as Greatest Common Divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder.
Methods to Find GCF:
- Listing Factors: List all factors and find the largest common one
- Prime Factorization: Express numbers as products of primes and multiply common factors
- Euclidean Algorithm: Efficient method for large numbers
Example:
Find GCF of 24 and 36:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Common factors: 1, 2, 3, 4, 6, 12
- GCF = 12
Applications:
- Simplifying fractions
- Finding equal groupings
- Solving word problems
- Cryptography algorithms
About This Calculator
Frequently Asked Questions
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