What is the Greatest Common Factor of 6003 and 6021?

Greatest common factor (GCF) of 6003 and 6021 is 9.

GCF(6003,6021) = 9

We will now calculate the prime factors of 6003 and 6021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6003 and 6021.

How to find the GCF of 6003 and 6021?

We will first find the prime factorization of 6003 and 6021. After we will calculate the factors of 6003 and 6021 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 6021

Prime factors of 6021 are 3, 223. Prime factorization of 6021 in exponential form is:

6021 = 3³ × 223¹

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 6021

List of positive integer factors of 6021 that divides 6003 without a remainder.

1, 3, 9, 27, 223, 669, 2007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6003 and 6021. The biggest common factor number is the GCF number.
So the greatest common factor 6003 and 6021 is 9.

Also check out the Least Common Multiple of 6003 and 6021