What is the Greatest Common Factor of 6003 and 6022?

Greatest common factor (GCF) of 6003 and 6022 is 1.

GCF(6003,6022) = 1

We will now calculate the prime factors of 6003 and 6022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6003 and 6022.

How to find the GCF of 6003 and 6022?

We will first find the prime factorization of 6003 and 6022. After we will calculate the factors of 6003 and 6022 and find the biggest common factor number .

Step-1: Prime Factorization of 6003

Prime factors of 6003 are 3, 23, 29. Prime factorization of 6003 in exponential form is:

6003 = 3² × 23¹ × 29¹

Step-2: Prime Factorization of 6022

Prime factors of 6022 are 2, 3011. Prime factorization of 6022 in exponential form is:

6022 = 2¹ × 3011¹

Step-3: Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001

Step-4: Factors of 6022

List of positive integer factors of 6022 that divides 6003 without a remainder.

1, 2, 3011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6003 and 6022. The biggest common factor number is the GCF number.
So the greatest common factor 6003 and 6022 is 1.

Also check out the Least Common Multiple of 6003 and 6022