Greatest Common Factor of 6007 and 6009

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 6007, 6009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6007 and 6009 is 1.

GCF(6007,6009) = 1

GCF of 6007 and 6009

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

GCF of:
and

Greatest Common Factor of 6007 and 6009

GCF of 6007 and 6009 is 1

Prime Factorization of 6007


6007 6007
1

Prime factors of 6007 are 6007. Prime factorization of 6007 in exponential form is:

6007 = 60071

Prime Factorization of 6009


3 6009
2003 2003
1

Prime factors of 6009 are 3.Prime factorization of 6009 in exponential form is:

6009 = 31×20031

∴ So by taking common prime factors GCF of 6007 and 6009 is 1

Greatest Common Factor of 6007 and 6009 by matching factors method

Factors of 6007

List of positive integer factors of 6007 that divides 6007 without a remainder.

1,6007

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1,3,2003,6009

Greatest Common Factor

We found the factors and prime factorization of 6007 and 6009. The biggest common factor number is the GCF number.
So the greatest common factor 6007 and 6009 is 1.

Also check out the Least Common Multiple of 6007 and 6009

Properties of GCF 6007 and 6009

(i) The GCF of 6007 and 6009 is associative

GCF of 6007 and 6009 = GCF of 6009 and 6007

Related Greatest Common Factor of 6007

Related Greatest Common Factor of 6009

Frequently Asked Questions on GCF of 6007 and 6009

1. What is the GCF of 6007 and 6009?

Answer: GCF of 6007 and 6009 is 1.

2. What are the Factors of 6007?

Answer: Factors of 6007 are 1, 6007. There are 2 integers that are factors of 6007. The greatest factor of 6007 is 6007.

3. What are the Factors of 6009?

Answer: Factors of 6009 are 1, 3, 2003, 6009. There are 4 integers that are factors of 6009. The greatest factor of 6009 is 6009.

4. How to Find the GCF of 6007 and 6009?

Answer:

Greatest Common Factor of 6007 and 6009 = 1

Step 1: Find the prime factorization of 6007

6007 = 6007

Step 2: Find the prime factorization of 6009

6009 = 3 x 2003

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 6007 and 6009 is 1