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Finding the GCF of 6, 24, and 36 using Prime Factorization

In this lesson, we will find the Greatest Common Factor (GCF) of the numbers 6, 24, and 36 by utilizing prime factorization. First, we write the prime factorizations: 6 = 2 × 3, 24 = 2^3 × 3, and 36 = 2^2 × 3^2. Next, we identify the common prime factors, which are 2 and 3. The GCF is then calculated by multiplying these common primes together: 2 × 3 = 6. Therefore, the GCF of 6, 24, and 36 is 6.

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Finding the GCF of 6, 24, and 36 using Prime Factorization

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  1. 36 24 6 6 6 4 6 2 3 2 3 2 3 2 2 2 3 2-3 Lesson 2-3 Example 4 Find the GCF of 6, 24, and 36 by using prime factors. Step 1 Write the prime factorization.

  2. 2-3 Lesson 2-3 Example 4 Find the GCF of 6, 24, and 36 by using prime factors. Step 2 The common prime factors are 2 and 3. So, the GCF of 6, 24, and 36 is 2 × 3 or6.

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