GCF Calculator

How to Calculate GCF?

The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder. It's useful for simplifying fractions and solving various mathematical problems.

Finding GCF of Multiple Numbers:

• Find the GCF of the first two numbers
• Use that result to find the GCF with the next number
• Continue until all numbers are processed

GCF(12, 18, 24) = 6

Finding GCF using Prime Factorization:

• Find the prime factors of each number
• Identify the common prime factors
• Multiply the common prime factors with the lowest exponents

48 = 2⁴ × 3

60 = 2² × 3 × 5

GCF(48, 60) = 2² × 3 = 12

Common GCF examples