What is the Greatest Common Factor of 57222 and 57237?

Greatest common factor (GCF) of 57222 and 57237 is 3.

GCF(57222,57237) = 3

We will now calculate the prime factors of 57222 and 57237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57222 and 57237.

How to find the GCF of 57222 and 57237?

We will first find the prime factorization of 57222 and 57237. After we will calculate the factors of 57222 and 57237 and find the biggest common factor number .

Step-1: Prime Factorization of 57222

Prime factors of 57222 are 2, 3, 11, 17. Prime factorization of 57222 in exponential form is:

57222 = 2¹ × 3² × 11¹ × 17²

Step-2: Prime Factorization of 57237

Prime factors of 57237 are 3, 19079. Prime factorization of 57237 in exponential form is:

57237 = 3¹ × 19079¹

Step-3: Factors of 57222

List of positive integer factors of 57222 that divides 57222 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 289, 306, 374, 561, 578, 867, 1122, 1683, 1734, 2601, 3179, 3366, 5202, 6358, 9537, 19074, 28611

Step-4: Factors of 57237

List of positive integer factors of 57237 that divides 57222 without a remainder.

1, 3, 19079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57222 and 57237. The biggest common factor number is the GCF number.
So the greatest common factor 57222 and 57237 is 3.

Also check out the Least Common Multiple of 57222 and 57237