Greatest Common Factor of 8004 and 8005

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 8004, 8005 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8004 and 8005 is 1.

GCF(8004,8005) = 1

GCF of 8004 and 8005

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

GCF of:
and

Greatest Common Factor of 8004 and 8005

GCF of 8004 and 8005 is 1

Prime Factorization of 8004


2 8004
2 4002
3 2001
23 667
29 29
1

Prime factors of 8004 are 2,3,23,29. Prime factorization of 8004 in exponential form is:

8004 = 22×31×231×291

Prime Factorization of 8005


5 8005
1601 1601
1

Prime factors of 8005 are 5,1601. Prime factorization of 8005 in exponential form is:

8005 = 51×16011

∴ So by taking common prime factors GCF of 8004 and 8005 is 1

Greatest Common Factor of 8004 and 8005 by matching factors method

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1,5,1601,8005

Greatest Common Factor

We found the factors and prime factorization of 8004 and 8005. The biggest common factor number is the GCF number.
So the greatest common factor 8004 and 8005 is 1.

Also check out the Least Common Multiple of 8004 and 8005

Properties of GCF 8004 and 8005

(i) The GCF of 8004 and 8005 is associative

GCF of 8004 and 8005 = GCF of 8005 and 8004

Related Greatest Common Factor of 8004

Related Greatest Common Factor of 8005

Frequently Asked Questions on GCF of 8004 and 8005

1. What is the GCF of 8004 and 8005?

Answer: GCF of 8004 and 8005 is 1.

2. What are the Factors of 8004?

Answer: Factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004. There are 24 integers that are factors of 8004. The greatest factor of 8004 is 8004.

3. What are the Factors of 8005?

Answer: Factors of 8005 are 1, 5, 1601, 8005. There are 4 integers that are factors of 8005. The greatest factor of 8005 is 8005.

4. How to Find the GCF of 8004 and 8005?

Answer:

Greatest Common Factor of 8004 and 8005 = 1

Step 1: Find the prime factorization of 8004

8004 = 2 x 2 x 3 x 23 x 29

Step 2: Find the prime factorization of 8005

8005 = 5 x 1601

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 8004 and 8005 is 1