Greatest Common Factor

The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), is a fundamental concept in mathematics used to find the largest integer that divides two or more numbers without leaving a remainder. It serves as a key tool in simplifying fractions, factoring polynomials, and solving various mathematical problems. Understanding the GCF is crucial in arithmetic and algebraic computations, providing a systematic approach to finding common factors and simplifying expressions. This concept forms the basis for numerous mathematical operations, making it indispensable in both theoretical and practical contexts.