GREATEST COMMON FACTOR CALCULATOR
Find the greatest common factor (GCF) of two or more numbers instantly. Perfect for students, teachers, and professionals.
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RESULT
Greatest Common Factor (GCF)
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CALCULATION STEPS
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ABOUT GREATEST COMMON FACTOR
The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), of two or more integers is the largest positive integer that divides each of the numbers without a remainder.
There are several methods to find the GCF:
Prime Factorization Method: Factor each number to its prime factors, then multiply the common prime factors with the lowest exponents.
Division Method: Divide the larger number by the smaller number, then replace the larger number with the smaller number and the smaller number with the remainder. Repeat until remainder is zero.
Euclidean Algorithm: An efficient method for computing the GCF of two numbers, which can be extended to more numbers.
Applications of GCF include:
Simplifying fractions to their lowest terms
Solving problems in number theory and algebra
Finding common denominators for fractions
Cryptography and computer algorithms
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Calculate GCF of multiple numbers with step-by-step solutions