Greatest Common Factor of 6008 and 6013

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 6008, 6013 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6008 and 6013 is 1.

GCF(6008,6013) = 1

GCF of 6008 and 6013

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

GCF of:
and

Greatest Common Factor of 6008 and 6013

GCF of 6008 and 6013 is 1

Prime Factorization of 6008


2 6008
2 3004
2 1502
751 751
1

Prime factors of 6008 are 2,751. Prime factorization of 6008 in exponential form is:

6008 = 23×7511

Prime Factorization of 6013


7 6013
859 859
1

Prime factors of 6013 are 7,859. Prime factorization of 6013 in exponential form is:

6013 = 71×8591

∴ So by taking common prime factors GCF of 6008 and 6013 is 1

Greatest Common Factor of 6008 and 6013 by matching factors method

Factors of 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1,2,4,8,751,1502,3004,6008

Factors of 6013

List of positive integer factors of 6013 that divides 6013 without a remainder.

1,7,859,6013

Greatest Common Factor

We found the factors and prime factorization of 6008 and 6013. The biggest common factor number is the GCF number.
So the greatest common factor 6008 and 6013 is 1.

Also check out the Least Common Multiple of 6008 and 6013

Properties of GCF 6008 and 6013

(i) The GCF of 6008 and 6013 is associative

GCF of 6008 and 6013 = GCF of 6013 and 6008

Related Greatest Common Factor of 6008

Related Greatest Common Factor of 6013

Frequently Asked Questions on GCF of 6008 and 6013

1. What is the GCF of 6008 and 6013?

Answer: GCF of 6008 and 6013 is 1.

2. What are the Factors of 6008?

Answer: Factors of 6008 are 1, 2, 4, 8, 751, 1502, 3004, 6008. There are 8 integers that are factors of 6008. The greatest factor of 6008 is 6008.

3. What are the Factors of 6013?

Answer: Factors of 6013 are 1, 7, 859, 6013. There are 4 integers that are factors of 6013. The greatest factor of 6013 is 6013.

4. How to Find the GCF of 6008 and 6013?

Answer:

Greatest Common Factor of 6008 and 6013 = 1

Step 1: Find the prime factorization of 6008

6008 = 2 x 2 x 2 x 751

Step 2: Find the prime factorization of 6013

6013 = 7 x 859

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 6008 and 6013 is 1