What is the Greatest Common Factor of 57288 and 57306?

Greatest common factor (GCF) of 57288 and 57306 is 6.

GCF(57288,57306) = 6

We will now calculate the prime factors of 57288 and 57306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57288 and 57306.

How to find the GCF of 57288 and 57306?

We will first find the prime factorization of 57288 and 57306. After we will calculate the factors of 57288 and 57306 and find the biggest common factor number .

Step-1: Prime Factorization of 57288

Prime factors of 57288 are 2, 3, 7, 11, 31. Prime factorization of 57288 in exponential form is:

57288 = 2³ × 3¹ × 7¹ × 11¹ × 31¹

Step-2: 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-3: Factors of 57288

List of positive integer factors of 57288 that divides 57288 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 31, 33, 42, 44, 56, 62, 66, 77, 84, 88, 93, 124, 132, 154, 168, 186, 217, 231, 248, 264, 308, 341, 372, 434, 462, 616, 651, 682, 744, 868, 924, 1023, 1302, 1364, 1736, 1848, 2046, 2387, 2604, 2728, 4092, 4774, 5208, 7161, 8184, 9548, 14322, 19096, 28644

Step-4: Factors of 57306

List of positive integer factors of 57306 that divides 57288 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57288 and 57306. The biggest common factor number is the GCF number.
So the greatest common factor 57288 and 57306 is 6.

Also check out the Least Common Multiple of 57288 and 57306