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Finding the GCF of 18 and 32 Using Prime Factorization

In this lesson, we will find the Greatest Common Factor (GCF) of the numbers 18 and 32 by using their prime factorization. First, we will write the prime factorization for each number. After determining the common prime factors, we can identify the GCF. For this example, the common prime factor is 2, which allows us to conclude that the GCF of 18 and 32 is 2. This method is effective for finding the GCF of any two numbers.

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Finding the GCF of 18 and 32 Using Prime Factorization

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  1. 5-4 Example 2 Lesson 2-3 Example 2 Find the GCF of 18 and 32 by using prime factors. 1.Write the prime factorization.

  2. 5-4 Example 2 Lesson 2-3 Example 2 Find the GCF of 18 and 32 by using prime factors. 2.The common prime factor is 2. So, the GCF of 18 and 32 is 2.

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