Greatest Common Factor of 6010 and 6015

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 6010, 6015 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6010 and 6015 is 5.

GCF(6010,6015) = 5

GCF of 6010 and 6015

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

GCF of:
and

Greatest Common Factor of 6010 and 6015

GCF of 6010 and 6015 is 5

Prime Factorization of 6010


2 6010
5 3005
601 601
1

Prime factors of 6010 are 2,5,601. Prime factorization of 6010 in exponential form is:

6010 = 21×51×6011

Prime Factorization of 6015


3 6015
5 2005
401 401
1

Prime factors of 6015 are 3,5,401. Prime factorization of 6015 in exponential form is:

6015 = 31×51×4011

∴ So by taking common prime factors GCF of 6010 and 6015 is 5

Greatest Common Factor of 6010 and 6015 by matching factors method

Factors of 6010

List of positive integer factors of 6010 that divides 6010 without a remainder.

1,2,5,10,601,1202,3005,6010

Factors of 6015

List of positive integer factors of 6015 that divides 6015 without a remainder.

1,3,5,15,401,1203,2005,6015

Greatest Common Factor

We found the factors and prime factorization of 6010 and 6015. The biggest common factor number is the GCF number.
So the greatest common factor 6010 and 6015 is 5.

Also check out the Least Common Multiple of 6010 and 6015

Properties of GCF 6010 and 6015

(i) The GCF of 6010 and 6015 is associative

GCF of 6010 and 6015 = GCF of 6015 and 6010

Frequently Asked Questions on GCF of 6010 and 6015

1. What is the GCF of 6010 and 6015?

Answer: GCF of 6010 and 6015 is 5.

2. What are the Factors of 6010?

Answer: Factors of 6010 are 1, 2, 5, 10, 601, 1202, 3005, 6010. There are 8 integers that are factors of 6010. The greatest factor of 6010 is 6010.

3. What are the Factors of 6015?

Answer: Factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015. There are 8 integers that are factors of 6015. The greatest factor of 6015 is 6015.

4. How to Find the GCF of 6010 and 6015?

Answer:

Greatest Common Factor of 6010 and 6015 = 5

Step 1: Find the prime factorization of 6010

6010 = 2 x 5 x 601

Step 2: Find the prime factorization of 6015

6015 = 3 x 5 x 401

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 6010 and 6015 is 5