What is the Greatest Common Factor of 6603 and 6621?

Greatest common factor (GCF) of 6603 and 6621 is 3.

GCF(6603,6621) = 3

We will now calculate the prime factors of 6603 and 6621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6603 and 6621.

How to find the GCF of 6603 and 6621?

We will first find the prime factorization of 6603 and 6621. After we will calculate the factors of 6603 and 6621 and find the biggest common factor number .

Step-1: Prime Factorization of 6603

Prime factors of 6603 are 3, 31, 71. Prime factorization of 6603 in exponential form is:

6603 = 3¹ × 31¹ × 71¹

Step-2: Prime Factorization of 6621

Prime factors of 6621 are 3, 2207. Prime factorization of 6621 in exponential form is:

6621 = 3¹ × 2207¹

Step-3: Factors of 6603

List of positive integer factors of 6603 that divides 6603 without a remainder.

1, 3, 31, 71, 93, 213, 2201

Step-4: Factors of 6621

List of positive integer factors of 6621 that divides 6603 without a remainder.

1, 3, 2207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6603 and 6621. The biggest common factor number is the GCF number.
So the greatest common factor 6603 and 6621 is 3.

Also check out the Least Common Multiple of 6603 and 6621