Solution: To find the greatest common factor (GCF) of 48 and 60, factor both numbers.

Wed, 06 May 2026 06:38:43 +0000

How to Find the Greatest Common Factor of 48 and 60: A Step-by-Step Guide Using Prime Factorization Finding the Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), is a fundamental concept in mathematics with applications in simplifying fractions, solving algebra problems, and understanding number relationships. When asked to find the GCF of 48 and 60, one of the most effective methods is factoring both numbers and identifying their shared prime factors. ### Understanding GCF The GCF of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To determine this, factoring each number into its prime components reveals common factors, making the GCF easy to calculate.