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What is GCF of 4082, 4124 | 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:

4082 = 2, 13, 157

4124 = 2, 2, 1031

Identify the common prime factors between 4082 and 4124: 2
To find GCF multiply the common prime factors: GCF(4082, 4124) = 2

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 4082 and 4124 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 4082: 1, 2, 13, 26, 157, 314, 2041, 4082
- Factors of 4124: 1, 2, 4, 1031, 2062, 4124
Identify the common factors of 4082 and 4124: 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 4082 and 4124 is 2.

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Summary

What is the GCF of 4082 and 4124? 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 4082 and 4124?

Answer: The GCF of 4082 and 4124 is 2

Prime Factorization Method

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Listing All Common Factors Method

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LCM

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