Greatest Common Factor of 27014 and 27019

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, 27019 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27014 and 27019 is 1.

GCF(27014,27019) = 1

GCF of 27014 and 27019

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

GCF of:
and

Greatest Common Factor of 27014 and 27019

GCF of 27014 and 27019 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 27019


41 27019
659 659
1

Prime factors of 27019 are 41,659. Prime factorization of 27019 in exponential form is:

27019 = 411×6591

∴ So by taking common prime factors GCF of 27014 and 27019 is 1

Greatest Common Factor of 27014 and 27019 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 27019

List of positive integer factors of 27019 that divides 27019 without a remainder.

1,41,659,27019

Greatest Common Factor

We found the factors and prime factorization of 27014 and 27019. The biggest common factor number is the GCF number.
So the greatest common factor 27014 and 27019 is 1.

Also check out the Least Common Multiple of 27014 and 27019

Properties of GCF 27014 and 27019

(i) The GCF of 27014 and 27019 is associative

GCF of 27014 and 27019 = GCF of 27019 and 27014

Related Greatest Common Factor of 27014

Related Greatest Common Factor of 27019

Frequently Asked Questions on GCF of 27014 and 27019

1. What is the GCF of 27014 and 27019?

Answer: GCF of 27014 and 27019 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 27019?

Answer: Factors of 27019 are 1, 41, 659, 27019. There are 4 integers that are factors of 27019. The greatest factor of 27019 is 27019.

4. How to Find the GCF of 27014 and 27019?

Answer:

Greatest Common Factor of 27014 and 27019 = 1

Step 1: Find the prime factorization of 27014

27014 = 2 x 13 x 1039

Step 2: Find the prime factorization of 27019

27019 = 41 x 659

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 27019 is 1