What is the Greatest Common Factor of 57288 and 57308?

Greatest common factor (GCF) of 57288 and 57308 is 4.

GCF(57288,57308) = 4

We will now calculate the prime factors of 57288 and 57308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57288 and 57308.

How to find the GCF of 57288 and 57308?

We will first find the prime factorization of 57288 and 57308. After we will calculate the factors of 57288 and 57308 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 57308

Prime factors of 57308 are 2, 14327. Prime factorization of 57308 in exponential form is:

57308 = 2² × 14327¹

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 57308

List of positive integer factors of 57308 that divides 57288 without a remainder.

1, 2, 4, 14327, 28654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57288 and 57308. The biggest common factor number is the GCF number.
So the greatest common factor 57288 and 57308 is 4.

Also check out the Least Common Multiple of 57288 and 57308