What is the Greatest Common Factor of 57306 and 57321?

Greatest common factor (GCF) of 57306 and 57321 is 3.

GCF(57306,57321) = 3

We will now calculate the prime factors of 57306 and 57321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57306 and 57321.

How to find the GCF of 57306 and 57321?

We will first find the prime factorization of 57306 and 57321. After we will calculate the factors of 57306 and 57321 and find the biggest common factor number .

Step-1: Prime Factorization of 57306

Prime factors of 57306 are 2, 3, 9551. Prime factorization of 57306 in exponential form is:

57306 = 2¹ × 3¹ × 9551¹

Step-2: Prime Factorization of 57321

Prime factors of 57321 are 3, 11, 193. Prime factorization of 57321 in exponential form is:

57321 = 3³ × 11¹ × 193¹

Step-3: Factors of 57306

List of positive integer factors of 57306 that divides 57306 without a remainder.

1, 2, 3, 6, 9551, 19102, 28653

Step-4: Factors of 57321

List of positive integer factors of 57321 that divides 57306 without a remainder.

1, 3, 9, 11, 27, 33, 99, 193, 297, 579, 1737, 2123, 5211, 6369, 19107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57306 and 57321. The biggest common factor number is the GCF number.
So the greatest common factor 57306 and 57321 is 3.

Also check out the Least Common Multiple of 57306 and 57321