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More Lessons for Grade 6 Math

Math Worksheets

Examples, videos, worksheets, and solutions to help Grade 6 students learn how to find the greatest common factor using prime factorization and factor trees.

The following diagram shows an example of finding the greatest common factor using factor trees and prime factorization. Scroll down the page for more examples and solutions on the greatest common factor (GCF).

**How to find the greatest common factor by using factor trees?**

The greatest common factor is the biggest number that divides evenly into each number in a given set of numbers.

Find the prime factorization of a number and use that to find the greatest common factor between two or three numbers.

Examples:

1. Find the greatest common factor of 12 and 8.

2. Find the greatest common factor of 18 and 21.

1. Find the greatest common factor of 24, 32 and 40.

**Greatest common factor using prime factorization or factor trees**

Example:

Find the GCF of 18, 20 and 6.**Three examples of how to find the greatest common factor of a set of terms using the factor tree**

Example:

Find the Greatest Common Factor of the following numbers.

1. 24, 36, 60

2. 28x^{2}, 42^{4}, 49x^{3}

3. 24a^{4}b^{2}, 60a^{3}b, 144a^{3}b^{3}
**How to find the greatest common factor (GCF) using factor trees and exponents?**

Example:

Find the GCF of 60, 18 and 28.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 6 Math

Math Worksheets

Examples, videos, worksheets, and solutions to help Grade 6 students learn how to find the greatest common factor using prime factorization and factor trees.

The following diagram shows an example of finding the greatest common factor using factor trees and prime factorization. Scroll down the page for more examples and solutions on the greatest common factor (GCF).

The greatest common factor is the biggest number that divides evenly into each number in a given set of numbers.

Find the prime factorization of a number and use that to find the greatest common factor between two or three numbers.

Examples:

1. Find the greatest common factor of 12 and 8.

2. Find the greatest common factor of 18 and 21.

1. Find the greatest common factor of 24, 32 and 40.

Example:

Find the GCF of 18, 20 and 6.

Example:

Find the Greatest Common Factor of the following numbers.

1. 24, 36, 60

2. 28x

3. 24a

Example:

Find the GCF of 60, 18 and 28.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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