What is the Greatest Common Factor of 33216 and 33228?

Greatest common factor (GCF) of 33216 and 33228 is 12.

GCF(33216,33228) = 12

We will now calculate the prime factors of 33216 and 33228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33216 and 33228.

How to find the GCF of 33216 and 33228?

We will first find the prime factorization of 33216 and 33228. After we will calculate the factors of 33216 and 33228 and find the biggest common factor number .

Step-1: Prime Factorization of 33216

Prime factors of 33216 are 2, 3, 173. Prime factorization of 33216 in exponential form is:

33216 = 2⁶ × 3¹ × 173¹

Step-2: Prime Factorization of 33228

Prime factors of 33228 are 2, 3, 13, 71. Prime factorization of 33228 in exponential form is:

33228 = 2² × 3² × 13¹ × 71¹

Step-3: Factors of 33216

List of positive integer factors of 33216 that divides 33216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 173, 192, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608

Step-4: Factors of 33228

List of positive integer factors of 33228 that divides 33216 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 71, 78, 117, 142, 156, 213, 234, 284, 426, 468, 639, 852, 923, 1278, 1846, 2556, 2769, 3692, 5538, 8307, 11076, 16614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33216 and 33228. The biggest common factor number is the GCF number.
So the greatest common factor 33216 and 33228 is 12.

Also check out the Least Common Multiple of 33216 and 33228