What is the Greatest Common Factor of 57288 and 57296?

Greatest common factor (GCF) of 57288 and 57296 is 8.

GCF(57288,57296) = 8

We will now calculate the prime factors of 57288 and 57296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57288 and 57296.

How to find the GCF of 57288 and 57296?

We will first find the prime factorization of 57288 and 57296. After we will calculate the factors of 57288 and 57296 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 57296

Prime factors of 57296 are 2, 3581. Prime factorization of 57296 in exponential form is:

57296 = 2⁴ × 3581¹

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 57296

List of positive integer factors of 57296 that divides 57288 without a remainder.

1, 2, 4, 8, 16, 3581, 7162, 14324, 28648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57288 and 57296. The biggest common factor number is the GCF number.
So the greatest common factor 57288 and 57296 is 8.

Also check out the Least Common Multiple of 57288 and 57296