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What is GCF of 16, 9 | 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:

16 = 2, 2, 2, 2

9 = 3, 3

Identify the common prime factors:

There are no common prime factors between 16 and 9.

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

GCF(16, 9) = 1

Thus, the Greatest Common Factor of 16 and 9, using the prime factorization method, is 1.

This means 16 and 9 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 16 and 9 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 9: 1, 3, 9
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 16 is a prime number and does not share any common factors with 9 other than 1, the GCF of 16 and 9 is: 1

This means 16 and 9 are relatively prime (coprime), having no common factors other than 1.

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Summary

What is the GCF of 16 and 9? 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 16 and 9?

Answer: The GCF of 16 and 9 is 1

Prime Factorization Method

Watch the Animated Step-by-Step Solution

Listing All Common Factors Method

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