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What is GCF of 5085, 100000 | GCD, HCF | prime, common factors

Q: What is the GCF of 5085 and 100000?

What is the GCF of 5085 and 100000? The answer is 5. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

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:

5085 = 3, 3, 5, 113

100000 = 2, 2, 2, 2, 2, 5, 5, 5, 5, 5

Identify the common prime factors between 5085 and 100000: 5
To find GCF multiply the common prime factors: GCF(5085, 100000) = 5

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 5085 and 100000 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 5085: 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085
- Factors of 100000: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000
Identify the common factors of 5085 and 100000: 1, 5
Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 5

So, the Greatest Common Factor (GCF) of 5085 and 100000 is 5.

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What is the GCF of 5085 and 100000?

Answer: The GCF of 5085 and 100000 is 5

Prime Factorization Method

Watch the Animated Step-by-Step Solution

Listing All Common Factors Method

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