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GCF of 10000 and 10005

Created By : Prasanna
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Want to know what the GCF of 10000 and 10005 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 10000 and 10005. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

GCF of:
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Detailed Solution to Calculate GCF of 10000, 10005 using Factoring

In this method, we have to list the factors of 10000 and 10005 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 10000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 500 , 625 , 1000 , 1250 , 2000 , 2500 , 5000 , and 10000

The factors of 10005 are 1 , 3 , 5 , 15 , 23 , 29 , 69 , 87 , 115 , 145 , 345 , 435 , 667 , 2001 , 3335 , and 10005


As you can see from the aforementioned lists, the largest number that is present in both lists is 5. Therefore, we can determine that the GCF of 10000 and 10005 is 5.


Greatest Common Factor of 10000, 10005 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 10000 and 10005 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.

5  10000,   10005
 2000,   2001

From the picture, we can see that 2000 and 2001 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

5 = 5

Hence, the GCF of 10000 and 10005 is 5.

Find the GCF of 10000 and 10005

Given numbers are 10000 and 10005

To find the greatest common factor of 10000 and 10005

The GCF of 10000 and 10005 is 5.

FAQs on GCF of 10000 and 10005

1. What are the LCM and GCF of 10000 and 10005?

The LCM and GCF of 10000 and 10005 are 20010000 and 5.

2. How to get the GCF of 10000 and 10005?

The GCF of 10000 and 10005 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.

3. What are the Methods to Find GCF of 10000, 10005?

The 2 different methods to find the greatest common factor of 10000 and 10005 are prime factorization and factors of both numbers.