Greatest Common Factor of 10005 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 10005, 10008 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10005 and 10008 is 3.

GCF(10005,10008) = 3

GCF of 10005 and 10008

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

GCF of:
and

Greatest Common Factor of 10005 and 10008

GCF of 10005 and 10008 is 3

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

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 10005 and 10008 is 3

Greatest Common Factor of 10005 and 10008 by matching factors method

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

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 10005 and 10008. The biggest common factor number is the GCF number.
So the greatest common factor 10005 and 10008 is 3.

Also check out the Least Common Multiple of 10005 and 10008

Properties of GCF 10005 and 10008

(i) The GCF of 10005 and 10008 is associative

GCF of 10005 and 10008 = GCF of 10008 and 10005

Related Greatest Common Factor of 10005

Related Greatest Common Factor of 10008

Frequently Asked Questions on GCF of 10005 and 10008

1. What is the GCF of 10005 and 10008?

Answer: GCF of 10005 and 10008 is 3.

2. 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.

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 10005 and 10008?

Answer:

Greatest Common Factor of 10005 and 10008 = 3

Step 1: Find the prime factorization of 10005

10005 = 3 x 5 x 23 x 29

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 = 3

Step 4: Therefore, the greatest common factor of 10005 and 10008 is 3