Greatest Common Factor of 10004 and 10008

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, 10008 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10004 and 10008 is 4.

GCF(10004,10008) = 4

GCF of 10004 and 10008

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

GCF of:
and

Greatest Common Factor of 10004 and 10008

GCF of 10004 and 10008 is 4

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 10008


2 10008
2 5004
2 2502
3 1251
3 417
139 139
1

Prime factors of 10008 are 2,3,139. Prime factorization of 10008 in exponential form is:

10008 = 23×32×1391

∴ So by taking common prime factors GCF of 10004 and 10008 is 4

Greatest Common Factor of 10004 and 10008 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 10008

List of positive integer factors of 10008 that divides 10008 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,139,278,417,556,834,1112,1251,1668,2502,3336,5004,10008

Greatest Common Factor

We found the factors and prime factorization of 10004 and 10008. The biggest common factor number is the GCF number.
So the greatest common factor 10004 and 10008 is 4.

Also check out the Least Common Multiple of 10004 and 10008

Properties of GCF 10004 and 10008

(i) The GCF of 10004 and 10008 is associative

GCF of 10004 and 10008 = GCF of 10008 and 10004

Related Greatest Common Factor of 10004

Related Greatest Common Factor of 10008

Frequently Asked Questions on GCF of 10004 and 10008

1. What is the GCF of 10004 and 10008?

Answer: GCF of 10004 and 10008 is 4.

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 10008?

Answer: Factors of 10008 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 139, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 5004, 10008. There are 24 integers that are factors of 10008. The greatest factor of 10008 is 10008.

4. How to Find the GCF of 10004 and 10008?

Answer:

Greatest Common Factor of 10004 and 10008 = 4

Step 1: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

Step 2: Find the prime factorization of 10008

10008 = 2 x 2 x 2 x 3 x 3 x 139

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10004 and 10008 is 4