Question: What is the greatest common factor of 68 and 102?

Wed, 06 May 2026 14:37:45 +0000

# What is the Greatest Common Factor of 68 and 102? Understanding mathematics often starts with simple—but essential—concepts, one of which is the Greatest Common Factor, or GCF. If you’ve ever asked, “What is the greatest common factor of 68 and 102?, you’re not alone. Finding the GCF helps solve everything from basic algebra to real-world division problems. In this article, we’ll break down how to find the GCF of 68 and 102, why it matters, and how to do it quickly and accurately. ## What Is the Greatest Common Factor? The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), is the largest positive number that divides two or more integers without leaving a remainder. It’s a fundamental tool in number theory and is widely used in simplifying fractions, factoring numbers, and solving practical problems.