What is the Greatest Common Factor of 33222 and 33237?

Greatest common factor (GCF) of 33222 and 33237 is 3.

GCF(33222,33237) = 3

We will now calculate the prime factors of 33222 and 33237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33222 and 33237.

How to find the GCF of 33222 and 33237?

We will first find the prime factorization of 33222 and 33237. After we will calculate the factors of 33222 and 33237 and find the biggest common factor number .

Step-1: Prime Factorization of 33222

Prime factors of 33222 are 2, 3, 7, 113. Prime factorization of 33222 in exponential form is:

33222 = 2¹ × 3¹ × 7² × 113¹

Step-2: Prime Factorization of 33237

Prime factors of 33237 are 3, 1231. Prime factorization of 33237 in exponential form is:

33237 = 3³ × 1231¹

Step-3: Factors of 33222

List of positive integer factors of 33222 that divides 33222 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 113, 147, 226, 294, 339, 678, 791, 1582, 2373, 4746, 5537, 11074, 16611

Step-4: Factors of 33237

List of positive integer factors of 33237 that divides 33222 without a remainder.

1, 3, 9, 27, 1231, 3693, 11079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33222 and 33237. The biggest common factor number is the GCF number.
So the greatest common factor 33222 and 33237 is 3.

Also check out the Least Common Multiple of 33222 and 33237