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## 4.3 Greatest Common Factors (GCF)

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**4.3 Greatest Common Factors (GCF)**I can find the greatest common factor of a set of numbers**Review**A factor is number that is multiplied by another number to get a product**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.**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.**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.**Try on your Own**• 16 & 28 • 24 & 56**Guided: using Distributive Property**• 15 + 25 • 36 + 72**Try on your own**• 10 + 90= • 45 + 72=**LCM**• LCM: Least Common Multiple: The smallest number, other than zero, that is a multiple of two or more given numbers**Guided Practice**• 5 & 6 • 9 & 11**Try on Your own**• 3 & 7 • 4 & 6