What is the Greatest Common Factor of 57340 and 57344?

Greatest common factor (GCF) of 57340 and 57344 is 4.

GCF(57340,57344) = 4

We will now calculate the prime factors of 57340 and 57344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57340 and 57344.

How to find the GCF of 57340 and 57344?

We will first find the prime factorization of 57340 and 57344. After we will calculate the factors of 57340 and 57344 and find the biggest common factor number .

Step-1: Prime Factorization of 57340

Prime factors of 57340 are 2, 5, 47, 61. Prime factorization of 57340 in exponential form is:

57340 = 2² × 5¹ × 47¹ × 61¹

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 57340

List of positive integer factors of 57340 that divides 57340 without a remainder.

1, 2, 4, 5, 10, 20, 47, 61, 94, 122, 188, 235, 244, 305, 470, 610, 940, 1220, 2867, 5734, 11468, 14335, 28670

Step-4: Factors of 57344

List of positive integer factors of 57344 that divides 57340 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 57340 and 57344. The biggest common factor number is the GCF number.
So the greatest common factor 57340 and 57344 is 4.

Also check out the Least Common Multiple of 57340 and 57344