What is the Greatest Common Factor of 3216 and 3228?

Greatest common factor (GCF) of 3216 and 3228 is 12.

GCF(3216,3228) = 12

We will now calculate the prime factors of 3216 and 3228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3216 and 3228.

How to find the GCF of 3216 and 3228?

We will first find the prime factorization of 3216 and 3228. After we will calculate the factors of 3216 and 3228 and find the biggest common factor number .

Step-1: Prime Factorization of 3216

Prime factors of 3216 are 2, 3, 67. Prime factorization of 3216 in exponential form is:

3216 = 2⁴ × 3¹ × 67¹

Step-2: 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-3: Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608

Step-4: Factors of 3228

List of positive integer factors of 3228 that divides 3216 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3216 and 3228. The biggest common factor number is the GCF number.
So the greatest common factor 3216 and 3228 is 12.

Also check out the Least Common Multiple of 3216 and 3228