# Exploring Greatest Common Factor

Exploring Greatest Common Factor
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Slide 1: Slide

This lesson contains 15 slides, with interactive quizzes and text slides.

Lesson duration is: 45 min

## Items in this lesson

Exploring Greatest Common Factor

#### Slide 1 -Slide

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Learning Objective
Understand the concept of greatest common factor and apply it to solve problems.

#### Slide 2 -Slide

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#### Slide 3 -Mind map

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Introduction to Common Factors
Common factors are numbers that divide two or more numbers exactly. For example, the common factors of 12 and 18 are 1, 2, 3, and 6.

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Defining Greatest Common Factor
The greatest common factor (GCF) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder.

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Finding the GCF
To find the GCF, list all the factors of each number and identify the highest number that appears in all the lists.

#### Slide 6 -Slide

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GCF of Prime Numbers
When finding the GCF of prime numbers, the GCF is always 1 since prime numbers have only two factors – 1 and the number itself.

#### Slide 7 -Slide

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GCF Examples
Example 1: Find the GCF of 24 and 36. List factors: 24 (1, 2, 3, 4, 6, 8, 12, 24) and 36 (1, 2, 3, 4, 6, 9, 12, 18, 36). The GCF is 12.

#### Slide 8 -Slide

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GCF in Real Life
The concept of GCF is used in various real-life scenarios, such as simplifying fractions, reducing ingredients in recipes, and optimizing resources.

#### Slide 9 -Slide

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GCF and LCM Connection
The GCF and the least common multiple (LCM) are related. The product of the GCF and LCM of two numbers is equal to the product of the two numbers themselves.

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Interactive Activity
Divide students into groups and provide them with pairs of numbers. Instruct them to find the GCF using the methods learned in the lesson.

#### Slide 11 -Slide

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Summary and Recap
Summarize the key points learned about the greatest common factor and allow students to ask any remaining questions.

#### Slide 12 -Slide

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Write down 3 things you learned in this lesson.

#### Slide 13 -Open question

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.
Write down 2 things you want to know more about.

#### Slide 14 -Open question

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.