Greatest Common Factor of 6006 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 6006, 6012 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6006 and 6012 is 6.

GCF(6006,6012) = 6

GCF of 6006 and 6012

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

GCF of:
and

Greatest Common Factor of 6006 and 6012

GCF of 6006 and 6012 is 6

Prime Factorization of 6006


2 6006
3 3003
7 1001
11 143
13 13
1

Prime factors of 6006 are 2,3,7,11,13. Prime factorization of 6006 in exponential form is:

6006 = 21×31×71×111×131

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 6006 and 6012 is 6

Greatest Common Factor of 6006 and 6012 by matching factors method

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

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 6006 and 6012. The biggest common factor number is the GCF number.
So the greatest common factor 6006 and 6012 is 6.

Also check out the Least Common Multiple of 6006 and 6012

Properties of GCF 6006 and 6012

(i) The GCF of 6006 and 6012 is associative

GCF of 6006 and 6012 = GCF of 6012 and 6006

Related Greatest Common Factor of 6006

Related Greatest Common Factor of 6012

Frequently Asked Questions on GCF of 6006 and 6012

1. What is the GCF of 6006 and 6012?

Answer: GCF of 6006 and 6012 is 6.

2. What are the Factors of 6006?

Answer: Factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. There are 32 integers that are factors of 6006. The greatest factor of 6006 is 6006.

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 6006 and 6012?

Answer:

Greatest Common Factor of 6006 and 6012 = 6

Step 1: Find the prime factorization of 6006

6006 = 2 x 3 x 7 x 11 x 13

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 3 = 6

Step 4: Therefore, the greatest common factor of 6006 and 6012 is 6