What is the Greatest Common Factor of 57288 and 57294?

Greatest common factor (GCF) of 57288 and 57294 is 6.

GCF(57288,57294) = 6

We will now calculate the prime factors of 57288 and 57294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57288 and 57294.

How to find the GCF of 57288 and 57294?

We will first find the prime factorization of 57288 and 57294. After we will calculate the factors of 57288 and 57294 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 57294

Prime factors of 57294 are 2, 3, 1061. Prime factorization of 57294 in exponential form is:

57294 = 2¹ × 3³ × 1061¹

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 57294

List of positive integer factors of 57294 that divides 57288 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1061, 2122, 3183, 6366, 9549, 19098, 28647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57288 and 57294. The biggest common factor number is the GCF number.
So the greatest common factor 57288 and 57294 is 6.

Also check out the Least Common Multiple of 57288 and 57294