Greatest Common Factor of 8004 and 8012

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, 8012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8004 and 8012 is 4.

GCF(8004,8012) = 4

GCF of 8004 and 8012

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

GCF of:
and

Greatest Common Factor of 8004 and 8012

GCF of 8004 and 8012 is 4

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 8012


2 8012
2 4006
2003 2003
1

Prime factors of 8012 are 2,2003. Prime factorization of 8012 in exponential form is:

8012 = 22×20031

∴ So by taking common prime factors GCF of 8004 and 8012 is 4

Greatest Common Factor of 8004 and 8012 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 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

Greatest Common Factor

We found the factors and prime factorization of 8004 and 8012. The biggest common factor number is the GCF number.
So the greatest common factor 8004 and 8012 is 4.

Also check out the Least Common Multiple of 8004 and 8012

Properties of GCF 8004 and 8012

(i) The GCF of 8004 and 8012 is associative

GCF of 8004 and 8012 = GCF of 8012 and 8004

Related Greatest Common Factor of 8004

Related Greatest Common Factor of 8012

Frequently Asked Questions on GCF of 8004 and 8012

1. What is the GCF of 8004 and 8012?

Answer: GCF of 8004 and 8012 is 4.

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 8012?

Answer: Factors of 8012 are 1, 2, 4, 2003, 4006, 8012. There are 6 integers that are factors of 8012. The greatest factor of 8012 is 8012.

4. How to Find the GCF of 8004 and 8012?

Answer:

Greatest Common Factor of 8004 and 8012 = 4

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 8012

8012 = 2 x 2 x 2003

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 8004 and 8012 is 4