What is the Greatest Common Factor of 57205 and 57222?

Greatest common factor (GCF) of 57205 and 57222 is 17.

GCF(57205,57222) = 17

We will now calculate the prime factors of 57205 and 57222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57205 and 57222.

How to find the GCF of 57205 and 57222?

We will first find the prime factorization of 57205 and 57222. After we will calculate the factors of 57205 and 57222 and find the biggest common factor number .

Step-1: Prime Factorization of 57205

Prime factors of 57205 are 5, 17, 673. Prime factorization of 57205 in exponential form is:

57205 = 5¹ × 17¹ × 673¹

Step-2: 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-3: Factors of 57205

List of positive integer factors of 57205 that divides 57205 without a remainder.

1, 5, 17, 85, 673, 3365, 11441

Step-4: Factors of 57222

List of positive integer factors of 57222 that divides 57205 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57205 and 57222. The biggest common factor number is the GCF number.
So the greatest common factor 57205 and 57222 is 17.

Also check out the Least Common Multiple of 57205 and 57222