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What is the GCF of 482 and 5424?

Answer: The GCF of 482 and 5424 is 2

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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:

482 = 2, 241

5424 = 2, 2, 2, 2, 3, 113

  • Identify the common prime factors between 482 and 5424: 2
  • To find GCF multiply the common prime factors: GCF(482, 5424) = 2

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 482 and 5424 by listing all common factors, follow these steps:

  1. List all factors of each number:
    • Factors of 482: 1, 2, 241, 482
    • Factors of 5424: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
  2. Identify the common factors of 482 and 5424: 1, 2
  3. 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 482 and 5424 is 2.

Summary

What is the GCF of 482 and 5424? The answer is 2. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

This page provided a complete animated walkthrough for what is the gcf of 482 and 5424?. Every step was visualized so you can understand not just the answer, but the method behind it. Use the animation above to replay and study each step at your own pace.

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