GCF Calculator (Greatest Common Factor)
Calculate the greatest common factor (GCF) of two or more integers with step-by-step solutions and explanations.
Category: Calculator
Frequently Asked Questions
What is the Greatest Common Factor (GCF)?
The Greatest Common Factor (GCF), also called the Greatest Common Divisor (GCD) or Highest Common Factor (HCF), is the largest positive integer that divides two or more integers without a remainder.
How do you find the GCF of two numbers?
There are several methods to find the GCF: (1) List all factors of each number and identify the largest common factor, (2) Use prime factorization and multiply the common prime factors with the lowest exponents, or (3) Use the Euclidean algorithm, which repeatedly divides the larger number by the smaller one and uses the remainder for the next division until the remainder is zero.
What are some practical uses of GCF?
The GCF is useful for simplifying fractions (divide both numerator and denominator by their GCF), factoring expressions in algebra, finding equivalent fractions, and solving various mathematical problems involving divisibility.