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What is GCF of 783, 6525 | 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:

783 = 3, 3, 3, 29

6525 = 3, 3, 5, 5, 29

Identify the common prime factors between 783 and 6525: 3, 3, 29
To find GCF multiply the common prime factors: GCF(783, 6525) = 261

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 783 and 6525 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 783: 1, 3, 9, 27, 29, 87, 261, 783
- Factors of 6525: 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525
Identify the common factors of 783 and 6525: 1, 3, 9, 29, 87, 261
Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 261

So, the Greatest Common Factor (GCF) of 783 and 6525 is 261.

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What is the GCF of 783 and 6525? The answer is 261. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

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What is the GCF of 783 and 6525?

Answer: The GCF of 783 and 6525 is 261

Prime Factorization Method

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Listing All Common Factors Method

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