Greatest Common Factor of 27005 and 27013

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 27005, 27013 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27005 and 27013 is 1.

GCF(27005,27013) = 1

GCF of 27005 and 27013

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

GCF of:
and

Greatest Common Factor of 27005 and 27013

GCF of 27005 and 27013 is 1

Prime Factorization of 27005


5 27005
11 5401
491 491
1

Prime factors of 27005 are 5,11,491. Prime factorization of 27005 in exponential form is:

27005 = 51×111×4911

Prime Factorization of 27013


7 27013
17 3859
227 227
1

Prime factors of 27013 are 7,17,227. Prime factorization of 27013 in exponential form is:

27013 = 71×171×2271

∴ So by taking common prime factors GCF of 27005 and 27013 is 1

Greatest Common Factor of 27005 and 27013 by matching factors method

Factors of 27005

List of positive integer factors of 27005 that divides 27005 without a remainder.

1,5,11,55,491,2455,5401,27005

Factors of 27013

List of positive integer factors of 27013 that divides 27013 without a remainder.

1,7,17,119,227,1589,3859,27013

Greatest Common Factor

We found the factors and prime factorization of 27005 and 27013. The biggest common factor number is the GCF number.
So the greatest common factor 27005 and 27013 is 1.

Also check out the Least Common Multiple of 27005 and 27013

Properties of GCF 27005 and 27013

(i) The GCF of 27005 and 27013 is associative

GCF of 27005 and 27013 = GCF of 27013 and 27005

Related Greatest Common Factor of 27005

Related Greatest Common Factor of 27013

Frequently Asked Questions on GCF of 27005 and 27013

1. What is the GCF of 27005 and 27013?

Answer: GCF of 27005 and 27013 is 1.

2. What are the Factors of 27005?

Answer: Factors of 27005 are 1, 5, 11, 55, 491, 2455, 5401, 27005. There are 8 integers that are factors of 27005. The greatest factor of 27005 is 27005.

3. What are the Factors of 27013?

Answer: Factors of 27013 are 1, 7, 17, 119, 227, 1589, 3859, 27013. There are 8 integers that are factors of 27013. The greatest factor of 27013 is 27013.

4. How to Find the GCF of 27005 and 27013?

Answer:

Greatest Common Factor of 27005 and 27013 = 1

Step 1: Find the prime factorization of 27005

27005 = 5 x 11 x 491

Step 2: Find the prime factorization of 27013

27013 = 7 x 17 x 227

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 27005 and 27013 is 1