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What is GCF of 6522, 6564 | GCD, HCF | prime, common factors

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:

6522 = 2, 3, 1087

6564 = 2, 2, 3, 547

Identify the common prime factors between 6522 and 6564: 2, 3
To find GCF multiply the common prime factors: GCF(6522, 6564) = 6

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 6522 and 6564 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 6522: 1, 2, 3, 6, 1087, 2174, 3261, 6522
- Factors of 6564: 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564
Identify the common factors of 6522 and 6564: 1, 2, 3, 6
Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 6

So, the Greatest Common Factor (GCF) of 6522 and 6564 is 6.

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What is the GCF of 6522 and 6564? The answer is 6. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

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What is the GCF of 6522 and 6564?

Answer: The GCF of 6522 and 6564 is 6

Prime Factorization Method

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Listing All Common Factors Method

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