What is the Greatest Common Factor of 33208 and 33222?

Greatest common factor (GCF) of 33208 and 33222 is 14.

GCF(33208,33222) = 14

We will now calculate the prime factors of 33208 and 33222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33208 and 33222.

How to find the GCF of 33208 and 33222?

We will first find the prime factorization of 33208 and 33222. After we will calculate the factors of 33208 and 33222 and find the biggest common factor number .

Step-1: Prime Factorization of 33208

Prime factors of 33208 are 2, 7, 593. Prime factorization of 33208 in exponential form is:

33208 = 2³ × 7¹ × 593¹

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 33208

List of positive integer factors of 33208 that divides 33208 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 593, 1186, 2372, 4151, 4744, 8302, 16604

Step-4: Factors of 33222

List of positive integer factors of 33222 that divides 33208 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 33208 and 33222. The biggest common factor number is the GCF number.
So the greatest common factor 33208 and 33222 is 14.

Also check out the Least Common Multiple of 33208 and 33222