Greatest Common Factor of 27004 and 27005

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 27004, 27005 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27004 and 27005 is 1.

GCF(27004,27005) = 1

GCF of 27004 and 27005

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

GCF of:
and

Greatest Common Factor of 27004 and 27005

GCF of 27004 and 27005 is 1

Prime Factorization of 27004


2 27004
2 13502
43 6751
157 157
1

Prime factors of 27004 are 2,43,157. Prime factorization of 27004 in exponential form is:

27004 = 22×431×1571

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

∴ So by taking common prime factors GCF of 27004 and 27005 is 1

Greatest Common Factor of 27004 and 27005 by matching factors method

Factors of 27004

List of positive integer factors of 27004 that divides 27004 without a remainder.

1,2,4,43,86,157,172,314,628,6751,13502,27004

Factors of 27005

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

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

Greatest Common Factor

We found the factors and prime factorization of 27004 and 27005. The biggest common factor number is the GCF number.
So the greatest common factor 27004 and 27005 is 1.

Also check out the Least Common Multiple of 27004 and 27005

Properties of GCF 27004 and 27005

(i) The GCF of 27004 and 27005 is associative

GCF of 27004 and 27005 = GCF of 27005 and 27004

Related Greatest Common Factor of 27004

Related Greatest Common Factor of 27005

Frequently Asked Questions on GCF of 27004 and 27005

1. What is the GCF of 27004 and 27005?

Answer: GCF of 27004 and 27005 is 1.

2. What are the Factors of 27004?

Answer: Factors of 27004 are 1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502, 27004. There are 12 integers that are factors of 27004. The greatest factor of 27004 is 27004.

3. 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.

4. How to Find the GCF of 27004 and 27005?

Answer:

Greatest Common Factor of 27004 and 27005 = 1

Step 1: Find the prime factorization of 27004

27004 = 2 x 2 x 43 x 157

Step 2: Find the prime factorization of 27005

27005 = 5 x 11 x 491

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 27004 and 27005 is 1