Greatest Common Factor of 6005 and 6008

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 6005, 6008 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6005 and 6008 is 1.

GCF(6005,6008) = 1

GCF of 6005 and 6008

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

GCF of:
and

Greatest Common Factor of 6005 and 6008

GCF of 6005 and 6008 is 1

Prime Factorization of 6005


5 6005
1201 1201
1

Prime factors of 6005 are 5,1201. Prime factorization of 6005 in exponential form is:

6005 = 51×12011

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

∴ So by taking common prime factors GCF of 6005 and 6008 is 1

Greatest Common Factor of 6005 and 6008 by matching factors method

Factors of 6005

List of positive integer factors of 6005 that divides 6005 without a remainder.

1,5,1201,6005

Factors of 6008

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

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

Greatest Common Factor

We found the factors and prime factorization of 6005 and 6008. The biggest common factor number is the GCF number.
So the greatest common factor 6005 and 6008 is 1.

Also check out the Least Common Multiple of 6005 and 6008

Properties of GCF 6005 and 6008

(i) The GCF of 6005 and 6008 is associative

GCF of 6005 and 6008 = GCF of 6008 and 6005

Related Greatest Common Factor of 6005

Related Greatest Common Factor of 6008

Frequently Asked Questions on GCF of 6005 and 6008

1. What is the GCF of 6005 and 6008?

Answer: GCF of 6005 and 6008 is 1.

2. What are the Factors of 6005?

Answer: Factors of 6005 are 1, 5, 1201, 6005. There are 4 integers that are factors of 6005. The greatest factor of 6005 is 6005.

3. 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.

4. How to Find the GCF of 6005 and 6008?

Answer:

Greatest Common Factor of 6005 and 6008 = 1

Step 1: Find the prime factorization of 6005

6005 = 5 x 1201

Step 2: Find the prime factorization of 6008

6008 = 2 x 2 x 2 x 751

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 6005 and 6008 is 1