What is the Greatest Common Factor of 33213 and 33228?

Greatest common factor (GCF) of 33213 and 33228 is 3.

GCF(33213,33228) = 3

We will now calculate the prime factors of 33213 and 33228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33213 and 33228.

How to find the GCF of 33213 and 33228?

We will first find the prime factorization of 33213 and 33228. After we will calculate the factors of 33213 and 33228 and find the biggest common factor number .

Step-1: Prime Factorization of 33213

Prime factors of 33213 are 3, 11071. Prime factorization of 33213 in exponential form is:

33213 = 3¹ × 11071¹

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 33213

List of positive integer factors of 33213 that divides 33213 without a remainder.

1, 3, 11071

Step-4: Factors of 33228

List of positive integer factors of 33228 that divides 33213 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 33213 and 33228. The biggest common factor number is the GCF number.
So the greatest common factor 33213 and 33228 is 3.

Also check out the Least Common Multiple of 33213 and 33228