What is the Greatest Common Factor of 3228 and 3243?

Greatest common factor (GCF) of 3228 and 3243 is 3.

GCF(3228,3243) = 3

We will now calculate the prime factors of 3228 and 3243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3228 and 3243.

How to find the GCF of 3228 and 3243?

We will first find the prime factorization of 3228 and 3243. After we will calculate the factors of 3228 and 3243 and find the biggest common factor number .

Step-1: Prime Factorization of 3228

Prime factors of 3228 are 2, 3, 269. Prime factorization of 3228 in exponential form is:

3228 = 2² × 3¹ × 269¹

Step-2: Prime Factorization of 3243

Prime factors of 3243 are 3, 23, 47. Prime factorization of 3243 in exponential form is:

3243 = 3¹ × 23¹ × 47¹

Step-3: Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614

Step-4: Factors of 3243

List of positive integer factors of 3243 that divides 3228 without a remainder.

1, 3, 23, 47, 69, 141, 1081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3228 and 3243. The biggest common factor number is the GCF number.
So the greatest common factor 3228 and 3243 is 3.

Also check out the Least Common Multiple of 3228 and 3243