Greatest Common Factor of 10004 and 10006

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 10004, 10006 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10004 and 10006 is 2.

GCF(10004,10006) = 2

GCF of 10004 and 10006

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

GCF of:
and

Greatest Common Factor of 10004 and 10006

GCF of 10004 and 10006 is 2

Prime Factorization of 10004


2 10004
2 5002
41 2501
61 61
1

Prime factors of 10004 are 2,41,61. Prime factorization of 10004 in exponential form is:

10004 = 22×411×611

Prime Factorization of 10006


2 10006
5003 5003
1

Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:

10006 = 21×50031

∴ So by taking common prime factors GCF of 10004 and 10006 is 2

Greatest Common Factor of 10004 and 10006 by matching factors method

Factors of 10004

List of positive integer factors of 10004 that divides 10004 without a remainder.

1,2,4,41,61,82,122,164,244,2501,5002,10004

Factors of 10006

List of positive integer factors of 10006 that divides 10006 without a remainder.

1,2,5003,10006

Greatest Common Factor

We found the factors and prime factorization of 10004 and 10006. The biggest common factor number is the GCF number.
So the greatest common factor 10004 and 10006 is 2.

Also check out the Least Common Multiple of 10004 and 10006

Properties of GCF 10004 and 10006

(i) The GCF of 10004 and 10006 is associative

GCF of 10004 and 10006 = GCF of 10006 and 10004

Related Greatest Common Factor of 10004

Related Greatest Common Factor of 10006

Frequently Asked Questions on GCF of 10004 and 10006

1. What is the GCF of 10004 and 10006?

Answer: GCF of 10004 and 10006 is 2.

2. What are the Factors of 10004?

Answer: Factors of 10004 are 1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004. There are 12 integers that are factors of 10004. The greatest factor of 10004 is 10004.

3. What are the Factors of 10006?

Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.

4. How to Find the GCF of 10004 and 10006?

Answer:

Greatest Common Factor of 10004 and 10006 = 2

Step 1: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

Step 2: Find the prime factorization of 10006

10006 = 2 x 5003

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10004 and 10006 is 2