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What is GCF of 7852, 7894 | 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:

7852 = 2, 2, 13, 151

7894 = 2, 3947

Identify the common prime factors between 7852 and 7894: 2
To find GCF multiply the common prime factors: GCF(7852, 7894) = 2

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 7852 and 7894 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 7852: 1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852
- Factors of 7894: 1, 2, 3947, 7894
Identify the common factors of 7852 and 7894: 1, 2
Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 2

So, the Greatest Common Factor (GCF) of 7852 and 7894 is 2.

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Summary

What is the GCF of 7852 and 7894? The answer is 2. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

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What is the GCF of 7852 and 7894?

Answer: The GCF of 7852 and 7894 is 2

Prime Factorization Method

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Listing All Common Factors Method

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