What is the Greatest Common Factor of 57222 and 57231?

Greatest common factor (GCF) of 57222 and 57231 is 9.

GCF(57222,57231) = 9

We will now calculate the prime factors of 57222 and 57231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57222 and 57231.

How to find the GCF of 57222 and 57231?

We will first find the prime factorization of 57222 and 57231. After we will calculate the factors of 57222 and 57231 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 57231

Prime factors of 57231 are 3, 6359. Prime factorization of 57231 in exponential form is:

57231 = 3² × 6359¹

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 57231

List of positive integer factors of 57231 that divides 57222 without a remainder.

1, 3, 9, 6359, 19077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57222 and 57231. The biggest common factor number is the GCF number.
So the greatest common factor 57222 and 57231 is 9.

Also check out the Least Common Multiple of 57222 and 57231