Greatest Common Factor of 27014 and 27017

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, 27017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27014 and 27017 is 1.

GCF(27014,27017) = 1

GCF of 27014 and 27017

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

GCF of:
and

Greatest Common Factor of 27014 and 27017

GCF of 27014 and 27017 is 1

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 27017


27017 27017
1

Prime factors of 27017 are 27017. Prime factorization of 27017 in exponential form is:

27017 = 270171

∴ So by taking common prime factors GCF of 27014 and 27017 is 1

Greatest Common Factor of 27014 and 27017 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 27017

List of positive integer factors of 27017 that divides 27017 without a remainder.

1,27017

Greatest Common Factor

We found the factors and prime factorization of 27014 and 27017. The biggest common factor number is the GCF number.
So the greatest common factor 27014 and 27017 is 1.

Also check out the Least Common Multiple of 27014 and 27017

Properties of GCF 27014 and 27017

(i) The GCF of 27014 and 27017 is associative

GCF of 27014 and 27017 = GCF of 27017 and 27014

Related Greatest Common Factor of 27014

Related Greatest Common Factor of 27017

Frequently Asked Questions on GCF of 27014 and 27017

1. What is the GCF of 27014 and 27017?

Answer: GCF of 27014 and 27017 is 1.

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 27017?

Answer: Factors of 27017 are 1, 27017. There are 2 integers that are factors of 27017. The greatest factor of 27017 is 27017.

4. How to Find the GCF of 27014 and 27017?

Answer:

Greatest Common Factor of 27014 and 27017 = 1

Step 1: Find the prime factorization of 27014

27014 = 2 x 13 x 1039

Step 2: Find the prime factorization of 27017

27017 = 27017

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 27014 and 27017 is 1