Greatest Common Factor of 6004 and 6011

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 6004, 6011 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6004 and 6011 is 1.

GCF(6004,6011) = 1

GCF of 6004 and 6011

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

GCF of:
and

Greatest Common Factor of 6004 and 6011

GCF of 6004 and 6011 is 1

Prime Factorization of 6004


2 6004
2 3002
19 1501
79 79
1

Prime factors of 6004 are 2,19,79. Prime factorization of 6004 in exponential form is:

6004 = 22×191×791

Prime Factorization of 6011


6011 6011
1

Prime factors of 6011 are 6011. Prime factorization of 6011 in exponential form is:

6011 = 60111

∴ So by taking common prime factors GCF of 6004 and 6011 is 1

Greatest Common Factor of 6004 and 6011 by matching factors method

Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1,2,4,19,38,76,79,158,316,1501,3002,6004

Factors of 6011

List of positive integer factors of 6011 that divides 6011 without a remainder.

1,6011

Greatest Common Factor

We found the factors and prime factorization of 6004 and 6011. The biggest common factor number is the GCF number.
So the greatest common factor 6004 and 6011 is 1.

Also check out the Least Common Multiple of 6004 and 6011

Properties of GCF 6004 and 6011

(i) The GCF of 6004 and 6011 is associative

GCF of 6004 and 6011 = GCF of 6011 and 6004

Related Greatest Common Factor of 6004

Related Greatest Common Factor of 6011

Frequently Asked Questions on GCF of 6004 and 6011

1. What is the GCF of 6004 and 6011?

Answer: GCF of 6004 and 6011 is 1.

2. What are the Factors of 6004?

Answer: Factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004. There are 12 integers that are factors of 6004. The greatest factor of 6004 is 6004.

3. What are the Factors of 6011?

Answer: Factors of 6011 are 1, 6011. There are 2 integers that are factors of 6011. The greatest factor of 6011 is 6011.

4. How to Find the GCF of 6004 and 6011?

Answer:

Greatest Common Factor of 6004 and 6011 = 1

Step 1: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

Step 2: Find the prime factorization of 6011

6011 = 6011

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 6004 and 6011 is 1