What is the Greatest Common Factor of 57288 and 57299?

Greatest common factor (GCF) of 57288 and 57299 is 11.

GCF(57288,57299) = 11

We will now calculate the prime factors of 57288 and 57299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57288 and 57299.

How to find the GCF of 57288 and 57299?

We will first find the prime factorization of 57288 and 57299. After we will calculate the factors of 57288 and 57299 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 57299

Prime factors of 57299 are 11, 5209. Prime factorization of 57299 in exponential form is:

57299 = 11¹ × 5209¹

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 57299

List of positive integer factors of 57299 that divides 57288 without a remainder.

1, 11, 5209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57288 and 57299. The biggest common factor number is the GCF number.
So the greatest common factor 57288 and 57299 is 11.

Also check out the Least Common Multiple of 57288 and 57299