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:
156 = 2, 2, 3, 13
184 = 2, 2, 2, 23
- Identify the common prime factors between 156 and 184: 2, 2
- To find GCF multiply the common prime factors: GCF(156, 184) = 4
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Listing All Common Factors Method
To find the Greatest Common Factor (GCF) of 156 and 184 by listing all common factors, follow these steps:
- List all factors of each number:
- Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
- Factors of 184: 1, 2, 4, 8, 23, 46, 92, 184
- Identify the common factors of 156 and 184: 1, 2, 4
- Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 4
So, the Greatest Common Factor (GCF) of 156 and 184 is 4.