What does GCF stand for in mathematics?

GCF stands for Greatest Common Factor in mathematics. It represents the largest positive integer that divides two or more integers without a remainder. Identifying the GCF is a crucial concept in number theory, particularly when simplifying fractions, finding common denominators, or solving problems involving divisibility.

Knowing how to calculate the GCF can enhance problem-solving efficiency and is foundational for understanding more complex mathematical concepts. The method to find the GCF can involve listing the factors of the numbers, applying the prime factorization approach, or using the Euclidean algorithm. Each of these methods is grounded in the same principle: determining the highest number that can evenly divide the given integers.

Other options suggest alternative meanings for GCF, but they do not align with accepted mathematical terminology or practices. The phrase Greatest Common Factor is well-defined and widely used in both educational settings and practical applications, making it the correct choice.