What is the Greatest Common Factor of 57344 and 57348?

Greatest common factor (GCF) of 57344 and 57348 is 4.

GCF(57344,57348) = 4

We will now calculate the prime factors of 57344 and 57348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57344 and 57348.

How to find the GCF of 57344 and 57348?

We will first find the prime factorization of 57344 and 57348. After we will calculate the factors of 57344 and 57348 and find the biggest common factor number .

Step-1: Prime Factorization of 57344

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

57344 = 2¹³ × 7¹

Step-2: Prime Factorization of 57348

Prime factors of 57348 are 2, 3, 59. Prime factorization of 57348 in exponential form is:

57348 = 2² × 3⁵ × 59¹

Step-3: Factors of 57344

List of positive integer factors of 57344 that divides 57344 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

Step-4: Factors of 57348

List of positive integer factors of 57348 that divides 57344 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162, 177, 236, 243, 324, 354, 486, 531, 708, 972, 1062, 1593, 2124, 3186, 4779, 6372, 9558, 14337, 19116, 28674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57344 and 57348. The biggest common factor number is the GCF number.
So the greatest common factor 57344 and 57348 is 4.

Also check out the Least Common Multiple of 57344 and 57348