Greatest Common Factor of 6004 and 6008

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 6004, 6008 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6004 and 6008 is 4.

GCF(6004,6008) = 4

GCF of 6004 and 6008

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

GCF of:
and

Greatest Common Factor of 6004 and 6008

GCF of 6004 and 6008 is 4

Prime Factorization of 6004


2 6004
2 3002
19 1501
79 79
1

Prime factors of 6004 are 2,19,79. Prime factorization of 6004 in exponential form is:

6004 = 22×191×791

Prime Factorization of 6008


2 6008
2 3004
2 1502
751 751
1

Prime factors of 6008 are 2,751. Prime factorization of 6008 in exponential form is:

6008 = 23×7511

∴ So by taking common prime factors GCF of 6004 and 6008 is 4

Greatest Common Factor of 6004 and 6008 by matching factors method

Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1,2,4,19,38,76,79,158,316,1501,3002,6004

Factors of 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1,2,4,8,751,1502,3004,6008

Greatest Common Factor

We found the factors and prime factorization of 6004 and 6008. The biggest common factor number is the GCF number.
So the greatest common factor 6004 and 6008 is 4.

Also check out the Least Common Multiple of 6004 and 6008

Properties of GCF 6004 and 6008

(i) The GCF of 6004 and 6008 is associative

GCF of 6004 and 6008 = GCF of 6008 and 6004

Related Greatest Common Factor of 6004

Related Greatest Common Factor of 6008

Frequently Asked Questions on GCF of 6004 and 6008

1. What is the GCF of 6004 and 6008?

Answer: GCF of 6004 and 6008 is 4.

2. What are the Factors of 6004?

Answer: Factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004. There are 12 integers that are factors of 6004. The greatest factor of 6004 is 6004.

3. What are the Factors of 6008?

Answer: Factors of 6008 are 1, 2, 4, 8, 751, 1502, 3004, 6008. There are 8 integers that are factors of 6008. The greatest factor of 6008 is 6008.

4. How to Find the GCF of 6004 and 6008?

Answer:

Greatest Common Factor of 6004 and 6008 = 4

Step 1: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

Step 2: Find the prime factorization of 6008

6008 = 2 x 2 x 2 x 751

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 6004 and 6008 is 4