Greatest Common Factor

Examples, videos, worksheets, and solutions to help Grade 6 students learn how to find the greatest common factor by listing out the factors.

What is the Greatest Common Factor?
The Greatest Common Factor (GCF) of some numbers, is the largest number that divides into all of the numbers without any remainder.

In this lesson we will learn how to find the greatest common factor of numbers by listing out their factors.

Learn how to find the greatest common factor of two numbers by listing out the factors
Examples:

1. Find the GCF for 9 and 6
2. Find the GCF for 8 and 10
3. Find the GCF for 12 and 18
4. Find the GCF for 7 and 21

Greatest Common Factor or Greatest Common Divisor
4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first

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Greatest Common Factor (GCF) of 3 Numbers
In this lesson, the student will learn how to apply the concept of the greatest common factor to problems with 3 numbers. First, we’ll list the factors of each number, then we’ll gain practice with choosing the GCF. Examples:

1. Find the gcf of 6, 24, 18
2. Find the gcf of 32, 8, 40

Finding the Greatest Common Factor between several numbers by listing out the factors

1. Find the Greatest Common Factor (GCF) between the following three terms: 24, 48, 60.
2. Find the Greatest Common Factor (GCF) between the following three terms: 8a², 16a, 12a³.
3. Find the Greatest Common Factor (GCF) between the following three terms: 24a²b³, 16a³b².
4. Find the Greatest Common Factor (GCF) between the following three terms: 18a², 27a, 45a³.

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