What is the Greatest Common Factor of 57330 and 57344?

Greatest common factor (GCF) of 57330 and 57344 is 14.

GCF(57330,57344) = 14

We will now calculate the prime factors of 57330 and 57344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57330 and 57344.

How to find the GCF of 57330 and 57344?

We will first find the prime factorization of 57330 and 57344. After we will calculate the factors of 57330 and 57344 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 57344

Prime factors of 57344 are 2, 7. Prime factorization of 57344 in exponential form is:

57344 = 2¹³ × 7¹

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 57344

List of positive integer factors of 57344 that divides 57330 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 4096, 7168, 8192, 14336, 28672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57330 and 57344. The biggest common factor number is the GCF number.
So the greatest common factor 57330 and 57344 is 14.

Also check out the Least Common Multiple of 57330 and 57344