What is the Greatest Common Factor of 33228 and 33239?

Greatest common factor (GCF) of 33228 and 33239 is 1.

GCF(33228,33239) = 1

We will now calculate the prime factors of 33228 and 33239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33228 and 33239.

How to find the GCF of 33228 and 33239?

We will first find the prime factorization of 33228 and 33239. After we will calculate the factors of 33228 and 33239 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33239

Prime factors of 33239 are 43, 773. Prime factorization of 33239 in exponential form is:

33239 = 43¹ × 773¹

Step-3: Factors of 33228

List of positive integer factors of 33228 that divides 33228 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

Step-4: Factors of 33239

List of positive integer factors of 33239 that divides 33228 without a remainder.

1, 43, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33228 and 33239. The biggest common factor number is the GCF number.
So the greatest common factor 33228 and 33239 is 1.

Also check out the Least Common Multiple of 33228 and 33239