Greatest Common Factor of 6004 and 6012

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, 6012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6004 and 6012 is 4.

GCF(6004,6012) = 4

GCF of 6004 and 6012

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

GCF of:
and

Greatest Common Factor of 6004 and 6012

GCF of 6004 and 6012 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 6012


2 6012
2 3006
3 1503
3 501
167 167
1

Prime factors of 6012 are 2,3,167. Prime factorization of 6012 in exponential form is:

6012 = 22×32×1671

∴ So by taking common prime factors GCF of 6004 and 6012 is 4

Greatest Common Factor of 6004 and 6012 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 6012

List of positive integer factors of 6012 that divides 6012 without a remainder.

1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012

Greatest Common Factor

We found the factors and prime factorization of 6004 and 6012. The biggest common factor number is the GCF number.
So the greatest common factor 6004 and 6012 is 4.

Also check out the Least Common Multiple of 6004 and 6012

Properties of GCF 6004 and 6012

(i) The GCF of 6004 and 6012 is associative

GCF of 6004 and 6012 = GCF of 6012 and 6004

Related Greatest Common Factor of 6004

Related Greatest Common Factor of 6012

Frequently Asked Questions on GCF of 6004 and 6012

1. What is the GCF of 6004 and 6012?

Answer: GCF of 6004 and 6012 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 6012?

Answer: Factors of 6012 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012. There are 18 integers that are factors of 6012. The greatest factor of 6012 is 6012.

4. How to Find the GCF of 6004 and 6012?

Answer:

Greatest Common Factor of 6004 and 6012 = 4

Step 1: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

Step 2: Find the prime factorization of 6012

6012 = 2 x 2 x 3 x 3 x 167

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 6012 is 4