What is the Greatest Common Factor of 57312 and 57330?

Greatest common factor (GCF) of 57312 and 57330 is 18.

GCF(57312,57330) = 18

We will now calculate the prime factors of 57312 and 57330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57312 and 57330.

How to find the GCF of 57312 and 57330?

We will first find the prime factorization of 57312 and 57330. After we will calculate the factors of 57312 and 57330 and find the biggest common factor number .

Step-1: Prime Factorization of 57312

Prime factors of 57312 are 2, 3, 199. Prime factorization of 57312 in exponential form is:

57312 = 2⁵ × 3² × 199¹

Step-2: Prime Factorization of 57330

Prime factors of 57330 are 2, 3, 5, 7, 13. Prime factorization of 57330 in exponential form is:

57330 = 2¹ × 3² × 5¹ × 7² × 13¹

Step-3: Factors of 57312

List of positive integer factors of 57312 that divides 57312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 199, 288, 398, 597, 796, 1194, 1592, 1791, 2388, 3184, 3582, 4776, 6368, 7164, 9552, 14328, 19104, 28656

Step-4: Factors of 57330

List of positive integer factors of 57330 that divides 57312 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 49, 63, 65, 70, 78, 90, 91, 98, 105, 117, 126, 130, 147, 182, 195, 210, 234, 245, 273, 294, 315, 390, 441, 455, 490, 546, 585, 630, 637, 735, 819, 882, 910, 1170, 1274, 1365, 1470, 1638, 1911, 2205, 2730, 3185, 3822, 4095, 4410, 5733, 6370, 8190, 9555, 11466, 19110, 28665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57312 and 57330. The biggest common factor number is the GCF number.
So the greatest common factor 57312 and 57330 is 18.

Also check out the Least Common Multiple of 57312 and 57330