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What is GCF of 760, 4902 | 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:

760 = 2, 2, 2, 5, 19

4902 = 2, 3, 19, 43

Identify the common prime factors between 760 and 4902: 2, 19
To find GCF multiply the common prime factors: GCF(760, 4902) = 38

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 760 and 4902 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 760: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
- Factors of 4902: 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902
Identify the common factors of 760 and 4902: 1, 2, 19, 38
Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 38

So, the Greatest Common Factor (GCF) of 760 and 4902 is 38.

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Summary

What is the GCF of 760 and 4902? The answer is 38. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

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What is the GCF of 760 and 4902?

Answer: The GCF of 760 and 4902 is 38

Prime Factorization Method

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Listing All Common Factors Method

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