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What is GCF of 19, 96 | 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:

19 = 19

96 = 2, 2, 2, 2, 2, 3

Identify the common prime factors:

There are no common prime factors between 19 and 96.

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

GCF(19, 96) = 1

Thus, the Greatest Common Factor of 19 and 96, using the prime factorization method, is 1.

This means 19 and 96 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 19 and 96 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 19: 1, 19
- Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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 19 is a prime number and does not share any common factors with 96 other than 1, the GCF of 19 and 96 is: 1

This means 19 and 96 are relatively prime (coprime), having no common factors other than 1.

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Summary

What is the GCF of 19 and 96? 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 19 and 96?

Answer: The GCF of 19 and 96 is 1

Prime Factorization Method

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Listing All Common Factors Method

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