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What is the GCF of 2652 and 194?

Answer: The GCF of 2652 and 194 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:

2652 = 2, 2, 3, 13, 17

194 = 2, 97

  • Identify the common prime factors between 2652 and 194: 2
  • To find GCF multiply the common prime factors: GCF(2652, 194) = 2

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 2652 and 194 by listing all common factors, follow these steps:

  1. List all factors of each number:
    • Factors of 2652: 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
    • Factors of 194: 1, 2, 97, 194
  2. Identify the common factors of 2652 and 194: 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 2652 and 194 is 2.

Summary

What is the GCF of 2652 and 194? 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 2652 and 194?. 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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