Greatest Common Factor of 10001 and 10005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 10001, 10005 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10001 and 10005 is 1.

GCF(10001,10005) = 1

GCF of 10001 and 10005

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 10001 and 10005

GCF of 10001 and 10005 is 1

Prime Factorization of 10001


73 10001
137 137
1

Prime factors of 10001 are 73,137. Prime factorization of 10001 in exponential form is:

10001 = 731×1371

Prime Factorization of 10005


3 10005
5 3335
23 667
29 29
1

Prime factors of 10005 are 3,5,23,29. Prime factorization of 10005 in exponential form is:

10005 = 31×51×231×291

∴ So by taking common prime factors GCF of 10001 and 10005 is 1

Greatest Common Factor of 10001 and 10005 by matching factors method

Factors of 10001

List of positive integer factors of 10001 that divides 10001 without a remainder.

1,73,137,10001

Factors of 10005

List of positive integer factors of 10005 that divides 10005 without a remainder.

1,3,5,15,23,29,69,87,115,145,345,435,667,2001,3335,10005

Greatest Common Factor

We found the factors and prime factorization of 10001 and 10005. The biggest common factor number is the GCF number.
So the greatest common factor 10001 and 10005 is 1.

Also check out the Least Common Multiple of 10001 and 10005

Properties of GCF 10001 and 10005

(i) The GCF of 10001 and 10005 is associative

GCF of 10001 and 10005 = GCF of 10005 and 10001

Related Greatest Common Factor of 10001

Related Greatest Common Factor of 10005

Frequently Asked Questions on GCF of 10001 and 10005

1. What is the GCF of 10001 and 10005?

Answer: GCF of 10001 and 10005 is 1.

2. What are the Factors of 10001?

Answer: Factors of 10001 are 1, 73, 137, 10001. There are 4 integers that are factors of 10001. The greatest factor of 10001 is 10001.

3. What are the Factors of 10005?

Answer: Factors of 10005 are 1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005. There are 16 integers that are factors of 10005. The greatest factor of 10005 is 10005.

4. How to Find the GCF of 10001 and 10005?

Answer:

Greatest Common Factor of 10001 and 10005 = 1

Step 1: Find the prime factorization of 10001

10001 = 73 x 137

Step 2: Find the prime factorization of 10005

10005 = 3 x 5 x 23 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 10001 and 10005 is 1