Greatest Common Factor of 27010 and 27015

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 27010, 27015 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27010 and 27015 is 5.

GCF(27010,27015) = 5

GCF of 27010 and 27015

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

GCF of:
and

Greatest Common Factor of 27010 and 27015

GCF of 27010 and 27015 is 5

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

Prime Factorization of 27015


3 27015
5 9005
1801 1801
1

Prime factors of 27015 are 3,5,1801. Prime factorization of 27015 in exponential form is:

27015 = 31×51×18011

∴ So by taking common prime factors GCF of 27010 and 27015 is 5

Greatest Common Factor of 27010 and 27015 by matching factors method

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

Factors of 27015

List of positive integer factors of 27015 that divides 27015 without a remainder.

1,3,5,15,1801,5403,9005,27015

Greatest Common Factor

We found the factors and prime factorization of 27010 and 27015. The biggest common factor number is the GCF number.
So the greatest common factor 27010 and 27015 is 5.

Also check out the Least Common Multiple of 27010 and 27015

Properties of GCF 27010 and 27015

(i) The GCF of 27010 and 27015 is associative

GCF of 27010 and 27015 = GCF of 27015 and 27010

Related Greatest Common Factor of 27010

Related Greatest Common Factor of 27015

Frequently Asked Questions on GCF of 27010 and 27015

1. What is the GCF of 27010 and 27015?

Answer: GCF of 27010 and 27015 is 5.

2. 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.

3. What are the Factors of 27015?

Answer: Factors of 27015 are 1, 3, 5, 15, 1801, 5403, 9005, 27015. There are 8 integers that are factors of 27015. The greatest factor of 27015 is 27015.

4. How to Find the GCF of 27010 and 27015?

Answer:

Greatest Common Factor of 27010 and 27015 = 5

Step 1: Find the prime factorization of 27010

27010 = 2 x 5 x 37 x 73

Step 2: Find the prime factorization of 27015

27015 = 3 x 5 x 1801

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

GCF = 5

Step 4: Therefore, the greatest common factor of 27010 and 27015 is 5