What is the Greatest Common Factor of 52206 and 52222?

Greatest common factor (GCF) of 52206 and 52222 is 2.

GCF(52206,52222) = 2

We will now calculate the prime factors of 52206 and 52222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52206 and 52222.

How to find the GCF of 52206 and 52222?

We will first find the prime factorization of 52206 and 52222. After we will calculate the factors of 52206 and 52222 and find the biggest common factor number .

Step-1: Prime Factorization of 52206

Prime factors of 52206 are 2, 3, 7, 11, 113. Prime factorization of 52206 in exponential form is:

52206 = 2¹ × 3¹ × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 52222

Prime factors of 52222 are 2, 26111. Prime factorization of 52222 in exponential form is:

52222 = 2¹ × 26111¹

Step-3: Factors of 52206

List of positive integer factors of 52206 that divides 52206 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 113, 154, 226, 231, 339, 462, 678, 791, 1243, 1582, 2373, 2486, 3729, 4746, 7458, 8701, 17402, 26103

Step-4: Factors of 52222

List of positive integer factors of 52222 that divides 52206 without a remainder.

1, 2, 26111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52206 and 52222. The biggest common factor number is the GCF number.
So the greatest common factor 52206 and 52222 is 2.

Also check out the Least Common Multiple of 52206 and 52222