Greatest Common Factor of 27004 and 27010

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, 27010 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27004 and 27010 is 2.

GCF(27004,27010) = 2

GCF of 27004 and 27010

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

GCF of:
and

Greatest Common Factor of 27004 and 27010

GCF of 27004 and 27010 is 2

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 27010


2 27010
5 13505
37 2701
73 73
1

Prime factors of 27010 are 2,5,37,73. Prime factorization of 27010 in exponential form is:

27010 = 21×51×371×731

∴ So by taking common prime factors GCF of 27004 and 27010 is 2

Greatest Common Factor of 27004 and 27010 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 27010

List of positive integer factors of 27010 that divides 27010 without a remainder.

1,2,5,10,37,73,74,146,185,365,370,730,2701,5402,13505,27010

Greatest Common Factor

We found the factors and prime factorization of 27004 and 27010. The biggest common factor number is the GCF number.
So the greatest common factor 27004 and 27010 is 2.

Also check out the Least Common Multiple of 27004 and 27010

Properties of GCF 27004 and 27010

(i) The GCF of 27004 and 27010 is associative

GCF of 27004 and 27010 = GCF of 27010 and 27004

Related Greatest Common Factor of 27004

Related Greatest Common Factor of 27010

Frequently Asked Questions on GCF of 27004 and 27010

1. What is the GCF of 27004 and 27010?

Answer: GCF of 27004 and 27010 is 2.

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 27010?

Answer: Factors of 27010 are 1, 2, 5, 10, 37, 73, 74, 146, 185, 365, 370, 730, 2701, 5402, 13505, 27010. There are 16 integers that are factors of 27010. The greatest factor of 27010 is 27010.

4. How to Find the GCF of 27004 and 27010?

Answer:

Greatest Common Factor of 27004 and 27010 = 2

Step 1: Find the prime factorization of 27004

27004 = 2 x 2 x 43 x 157

Step 2: Find the prime factorization of 27010

27010 = 2 x 5 x 37 x 73

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 27004 and 27010 is 2