What is the Greatest Common Factor of 6009 and 6029?

Greatest common factor (GCF) of 6009 and 6029 is 1.

GCF(6009,6029) = 1

We will now calculate the prime factors of 6009 and 6029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6009 and 6029.

How to find the GCF of 6009 and 6029?

We will first find the prime factorization of 6009 and 6029. After we will calculate the factors of 6009 and 6029 and find the biggest common factor number .

Step-1: Prime Factorization of 6009

Prime factors of 6009 are 3, 2003. Prime factorization of 6009 in exponential form is:

6009 = 3¹ × 2003¹

Step-2: Prime Factorization of 6029

Prime factors of 6029 are 6029. Prime factorization of 6029 in exponential form is:

6029 = 6029¹

Step-3: Factors of 6009

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

1, 3, 2003

Step-4: Factors of 6029

List of positive integer factors of 6029 that divides 6009 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6009 and 6029. The biggest common factor number is the GCF number.
So the greatest common factor 6009 and 6029 is 1.

Also check out the Least Common Multiple of 6009 and 6029