What is the Greatest Common Factor of 33222 and 33242?

Greatest common factor (GCF) of 33222 and 33242 is 2.

GCF(33222,33242) = 2

We will now calculate the prime factors of 33222 and 33242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33222 and 33242.

How to find the GCF of 33222 and 33242?

We will first find the prime factorization of 33222 and 33242. After we will calculate the factors of 33222 and 33242 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 33242

Prime factors of 33242 are 2, 11, 1511. Prime factorization of 33242 in exponential form is:

33242 = 2¹ × 11¹ × 1511¹

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 33242

List of positive integer factors of 33242 that divides 33222 without a remainder.

1, 2, 11, 22, 1511, 3022, 16621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33222 and 33242. The biggest common factor number is the GCF number.
So the greatest common factor 33222 and 33242 is 2.

Also check out the Least Common Multiple of 33222 and 33242