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**4.3 Greatest Common Factors (GCF)**

I can find the greatest common factor of a set of numbers

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Review A factor is number that is multiplied by another number to get a product

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**The greatest common factor is the largest factor that two or more numbers share.**

Factors of 24: Factors of 36: Common factors: 1, 2, 3, 4, 6, 8, 12, 24 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 2, 3, 4, 6, 12 The greatest common factor (GCF) of 24 and 36 is 12. Example 1 shows three different methods for finding the GCF.

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**Additional Example 1A: Finding the GCF**

Find the GCF of the set of numbers. 28 and 42 Method 1: List the factors. factors of 28: factors of 42: List all the factors. 1, 2, 4, 7, 14, 28 1, 2, 3, 6, 7, 14, 21, 42 Circle the GCF. The GCF of 28 and 42 is 14.

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**Find the GCF of the set of numbers.**

Check It Out: Example 1A Find the GCF of the set of numbers. 18 and 36 Method 1: List the factors. factors of 18: factors of 36: List all the factors. 1, 2, 3, 6, 9, 18 1, 2, 3, 4, 6, 9, 12, 18, 36 Circle the GCF. The GCF of 18 and 36 is 18.

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Try on your Own 16 & 28 24 & 56

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**Guided: using Distributive Property**

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Try on your own = =

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LCM LCM: Least Common Multiple: The smallest number, other than zero, that is a multiple of two or more given numbers

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Guided Practice 5 & 6 9 & 11

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Try on Your own 3 & 7 4 & 6

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