Greatest Common Factor of 6006 and 6014

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, 6014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6006 and 6014 is 2.

GCF(6006,6014) = 2

GCF of 6006 and 6014

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

GCF of:
and

Greatest Common Factor of 6006 and 6014

GCF of 6006 and 6014 is 2

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 6014


2 6014
31 3007
97 97
1

Prime factors of 6014 are 2,31,97. Prime factorization of 6014 in exponential form is:

6014 = 21×311×971

∴ So by taking common prime factors GCF of 6006 and 6014 is 2

Greatest Common Factor of 6006 and 6014 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 6014

List of positive integer factors of 6014 that divides 6014 without a remainder.

1,2,31,62,97,194,3007,6014

Greatest Common Factor

We found the factors and prime factorization of 6006 and 6014. The biggest common factor number is the GCF number.
So the greatest common factor 6006 and 6014 is 2.

Also check out the Least Common Multiple of 6006 and 6014

Properties of GCF 6006 and 6014

(i) The GCF of 6006 and 6014 is associative

GCF of 6006 and 6014 = GCF of 6014 and 6006

Related Greatest Common Factor of 6006

Related Greatest Common Factor of 6014

Frequently Asked Questions on GCF of 6006 and 6014

1. What is the GCF of 6006 and 6014?

Answer: GCF of 6006 and 6014 is 2.

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 6014?

Answer: Factors of 6014 are 1, 2, 31, 62, 97, 194, 3007, 6014. There are 8 integers that are factors of 6014. The greatest factor of 6014 is 6014.

4. How to Find the GCF of 6006 and 6014?

Answer:

Greatest Common Factor of 6006 and 6014 = 2

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 6014

6014 = 2 x 31 x 97

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 6006 and 6014 is 2