Greatest Common Factor of 8002 and 8004

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 8002, 8004 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8002 and 8004 is 2.

GCF(8002,8004) = 2

GCF of 8002 and 8004

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

GCF of:
and

Greatest Common Factor of 8002 and 8004

GCF of 8002 and 8004 is 2

Prime Factorization of 8002


2 8002
4001 4001
1

Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:

8002 = 21×40011

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

∴ So by taking common prime factors GCF of 8002 and 8004 is 2

Greatest Common Factor of 8002 and 8004 by matching factors method

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

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

Greatest Common Factor

We found the factors and prime factorization of 8002 and 8004. The biggest common factor number is the GCF number.
So the greatest common factor 8002 and 8004 is 2.

Also check out the Least Common Multiple of 8002 and 8004

Properties of GCF 8002 and 8004

(i) The GCF of 8002 and 8004 is associative

GCF of 8002 and 8004 = GCF of 8004 and 8002

Related Greatest Common Factor of 8002

Related Greatest Common Factor of 8004

Frequently Asked Questions on GCF of 8002 and 8004

1. What is the GCF of 8002 and 8004?

Answer: GCF of 8002 and 8004 is 2.

2. What are the Factors of 8002?

Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.

3. 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.

4. How to Find the GCF of 8002 and 8004?

Answer:

Greatest Common Factor of 8002 and 8004 = 2

Step 1: Find the prime factorization of 8002

8002 = 2 x 4001

Step 2: Find the prime factorization of 8004

8004 = 2 x 2 x 3 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 = 2

Step 4: Therefore, the greatest common factor of 8002 and 8004 is 2