Greatest Common Factor Calculator
Use this factor calculator to quickly find the greatest common factor of two or three numbers.
Calculator
Definition
The factors common to a group of numbers are called common factors. A group of numbers might have more than one common factor.
The greatest factor common to a group of numbers is called the greatest common factor (GCF).
Follow these simple steps to find the GCF of two or three numbers:
Step 1: For each number, make a list of all of its factors.
Step 2: Identify the common factors.
Step 3: Find the greatest common factor.
Example
Let's find the GCF of 48 and 72. We will follow the above steps.
Step 1: For each number, make a list of all of its factors.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Step 2: Identify the common factors.
The factors common to 48 and 72 are: 1, 2, 3, 4, 6, 8, 12, 24
Step 3: Find the greatest common factor.
From the previous list of common factors, we will choose the greatest number: 24
Answer: GCF = 24
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