Greatest Common Factor of 27006 and 27014

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 27006, 27014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27006 and 27014 is 2.

GCF(27006,27014) = 2

GCF of 27006 and 27014

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

GCF of:
and

Greatest Common Factor of 27006 and 27014

GCF of 27006 and 27014 is 2

Prime Factorization of 27006


2 27006
3 13503
7 4501
643 643
1

Prime factors of 27006 are 2,3,7,643. Prime factorization of 27006 in exponential form is:

27006 = 21×31×71×6431

Prime Factorization of 27014


2 27014
13 13507
1039 1039
1

Prime factors of 27014 are 2,13,1039. Prime factorization of 27014 in exponential form is:

27014 = 21×131×10391

∴ So by taking common prime factors GCF of 27006 and 27014 is 2

Greatest Common Factor of 27006 and 27014 by matching factors method

Factors of 27006

List of positive integer factors of 27006 that divides 27006 without a remainder.

1,2,3,6,7,14,21,42,643,1286,1929,3858,4501,9002,13503,27006

Factors of 27014

List of positive integer factors of 27014 that divides 27014 without a remainder.

1,2,13,26,1039,2078,13507,27014

Greatest Common Factor

We found the factors and prime factorization of 27006 and 27014. The biggest common factor number is the GCF number.
So the greatest common factor 27006 and 27014 is 2.

Also check out the Least Common Multiple of 27006 and 27014

Properties of GCF 27006 and 27014

(i) The GCF of 27006 and 27014 is associative

GCF of 27006 and 27014 = GCF of 27014 and 27006

Related Greatest Common Factor of 27006

Related Greatest Common Factor of 27014

Frequently Asked Questions on GCF of 27006 and 27014

1. What is the GCF of 27006 and 27014?

Answer: GCF of 27006 and 27014 is 2.

2. What are the Factors of 27006?

Answer: Factors of 27006 are 1, 2, 3, 6, 7, 14, 21, 42, 643, 1286, 1929, 3858, 4501, 9002, 13503, 27006. There are 16 integers that are factors of 27006. The greatest factor of 27006 is 27006.

3. What are the Factors of 27014?

Answer: Factors of 27014 are 1, 2, 13, 26, 1039, 2078, 13507, 27014. There are 8 integers that are factors of 27014. The greatest factor of 27014 is 27014.

4. How to Find the GCF of 27006 and 27014?

Answer:

Greatest Common Factor of 27006 and 27014 = 2

Step 1: Find the prime factorization of 27006

27006 = 2 x 3 x 7 x 643

Step 2: Find the prime factorization of 27014

27014 = 2 x 13 x 1039

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 27006 and 27014 is 2