What is the Greatest Common Factor of 57288 and 57302?

Greatest common factor (GCF) of 57288 and 57302 is 14.

GCF(57288,57302) = 14

We will now calculate the prime factors of 57288 and 57302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57288 and 57302.

How to find the GCF of 57288 and 57302?

We will first find the prime factorization of 57288 and 57302. After we will calculate the factors of 57288 and 57302 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 57302

Prime factors of 57302 are 2, 7, 4093. Prime factorization of 57302 in exponential form is:

57302 = 2¹ × 7¹ × 4093¹

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 57302

List of positive integer factors of 57302 that divides 57288 without a remainder.

1, 2, 7, 14, 4093, 8186, 28651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57288 and 57302. The biggest common factor number is the GCF number.
So the greatest common factor 57288 and 57302 is 14.

Also check out the Least Common Multiple of 57288 and 57302