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What is GCF of 101, 8242 | 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:

101 = 101

8242 = 2, 13, 317

Identify the common prime factors:

There are no common prime factors between 101 and 8242.

Since there are no common prime factors, the GCF is:

GCF(101, 8242) = 1

Thus, the Greatest Common Factor of 101 and 8242, using the prime factorization method, is 1.

This means 101 and 8242 are relatively prime (coprime), having no common factors other than 1.

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 101 and 8242 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 101: 1, 101
- Factors of 8242: 1, 2, 13, 26, 317, 634, 4121, 8242
Identify the common factors: The only common factor is 1.
Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors:
  - GCF = 1

Since 101 is a prime number and does not share any common factors with 8242 other than 1, the GCF of 101 and 8242 is: 1

This means 101 and 8242 are relatively prime (coprime), having no common factors other than 1.

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Summary

What is the GCF of 101 and 8242? The answer is 1. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

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What is the GCF of 101 and 8242?

Answer: The GCF of 101 and 8242 is 1

Prime Factorization Method

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Listing All Common Factors Method

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