Since the remainder is now 0, the last non-zero remainder is the GCF.

Sun, 03 May 2026 18:00:51 +0000

Understanding the Greatest Common Factor (GCF): When the Remainder Is Zero When learning about the Greatest Common Factor (GCF), one of the key principles is simple yet powerful: since the remainder is now 0, the last non-zero remainder is the GCF. This concept is foundational in number theory and forms the backbone of the Euclidean Algorithm—a time-tested method for finding the GCF of two integers. ### What Is the GCF? The GCF, also known as the Greatest Common Divisor, is the largest positive integer that divides two or more numbers without leaving a remainder. In other words, it is the greatest number that is a divisor of all the given numbers.