What is the Greatest Common Factor of 57330 and 57336?

Greatest common factor (GCF) of 57330 and 57336 is 6.

GCF(57330,57336) = 6

We will now calculate the prime factors of 57330 and 57336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57330 and 57336.

How to find the GCF of 57330 and 57336?

We will first find the prime factorization of 57330 and 57336. After we will calculate the factors of 57330 and 57336 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57336

Prime factors of 57336 are 2, 3, 2389. Prime factorization of 57336 in exponential form is:

57336 = 2³ × 3¹ × 2389¹

Step-3: Factors of 57330

List of positive integer factors of 57330 that divides 57330 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

Step-4: Factors of 57336

List of positive integer factors of 57336 that divides 57330 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2389, 4778, 7167, 9556, 14334, 19112, 28668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57330 and 57336. The biggest common factor number is the GCF number.
So the greatest common factor 57330 and 57336 is 6.

Also check out the Least Common Multiple of 57330 and 57336