What is the Greatest Common Factor of 6603 and 6615?

Greatest common factor (GCF) of 6603 and 6615 is 3.

GCF(6603,6615) = 3

We will now calculate the prime factors of 6603 and 6615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6603 and 6615.

How to find the GCF of 6603 and 6615?

We will first find the prime factorization of 6603 and 6615. After we will calculate the factors of 6603 and 6615 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 6615

Prime factors of 6615 are 3, 5, 7. Prime factorization of 6615 in exponential form is:

6615 = 3³ × 5¹ × 7²

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 6615

List of positive integer factors of 6615 that divides 6603 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6603 and 6615. The biggest common factor number is the GCF number.
So the greatest common factor 6603 and 6615 is 3.

Also check out the Least Common Multiple of 6603 and 6615