Greatest Common Factor of 27014 and 27022

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 27014, 27022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27014 and 27022 is 2.

GCF(27014,27022) = 2

GCF of 27014 and 27022

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

GCF of:
and

Greatest Common Factor of 27014 and 27022

GCF of 27014 and 27022 is 2

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

Prime Factorization of 27022


2 27022
59 13511
229 229
1

Prime factors of 27022 are 2,59,229. Prime factorization of 27022 in exponential form is:

27022 = 21×591×2291

∴ So by taking common prime factors GCF of 27014 and 27022 is 2

Greatest Common Factor of 27014 and 27022 by matching factors method

Factors of 27014

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

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

Factors of 27022

List of positive integer factors of 27022 that divides 27022 without a remainder.

1,2,59,118,229,458,13511,27022

Greatest Common Factor

We found the factors and prime factorization of 27014 and 27022. The biggest common factor number is the GCF number.
So the greatest common factor 27014 and 27022 is 2.

Also check out the Least Common Multiple of 27014 and 27022

Properties of GCF 27014 and 27022

(i) The GCF of 27014 and 27022 is associative

GCF of 27014 and 27022 = GCF of 27022 and 27014

Related Greatest Common Factor of 27014

Related Greatest Common Factor of 27022

Frequently Asked Questions on GCF of 27014 and 27022

1. What is the GCF of 27014 and 27022?

Answer: GCF of 27014 and 27022 is 2.

2. 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.

3. What are the Factors of 27022?

Answer: Factors of 27022 are 1, 2, 59, 118, 229, 458, 13511, 27022. There are 8 integers that are factors of 27022. The greatest factor of 27022 is 27022.

4. How to Find the GCF of 27014 and 27022?

Answer:

Greatest Common Factor of 27014 and 27022 = 2

Step 1: Find the prime factorization of 27014

27014 = 2 x 13 x 1039

Step 2: Find the prime factorization of 27022

27022 = 2 x 59 x 229

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 27014 and 27022 is 2