Prime Factorization Method
There are multiple ways to find the greatest common factor of given integers. One of these involves computing the prime factorizations of each integer, determining which factors they have in common, and multiplying these factors to find the GCD.
- Find the prime factorization of each number:
9 = 3, 3
6 = 2, 3
- Identify the common prime factors between 9 and 6: 3
- To find GCF multiply the common prime factors: GCF(9, 6) = 3
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To find the Greatest Common Factor (GCF) of 9 and 6 by listing all common factors, follow these steps:
- List all factors of each number:
- Factors of 9: 1, 3, 9
- Factors of 6: 1, 2, 3, 6
- Identify the common factors of 9 and 6: 1, 3
- Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 3
So, the Greatest Common Factor (GCF) of 9 and 6 is 3.
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Summary
What is the GCF of 9 and 6? The answer is 3. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.
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