What is the Greatest Common Factor of 33213 and 33222?

Greatest common factor (GCF) of 33213 and 33222 is 3.

GCF(33213,33222) = 3

We will now calculate the prime factors of 33213 and 33222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33213 and 33222.

How to find the GCF of 33213 and 33222?

We will first find the prime factorization of 33213 and 33222. After we will calculate the factors of 33213 and 33222 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 33222

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

33222 = 2¹ × 3¹ × 7² × 113¹

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 33222

List of positive integer factors of 33222 that divides 33213 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33213 and 33222. The biggest common factor number is the GCF number.
So the greatest common factor 33213 and 33222 is 3.

Also check out the Least Common Multiple of 33213 and 33222