What is the Greatest Common Factor of 57328 and 57340?

Greatest common factor (GCF) of 57328 and 57340 is 4.

GCF(57328,57340) = 4

We will now calculate the prime factors of 57328 and 57340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57328 and 57340.

How to find the GCF of 57328 and 57340?

We will first find the prime factorization of 57328 and 57340. After we will calculate the factors of 57328 and 57340 and find the biggest common factor number .

Step-1: Prime Factorization of 57328

Prime factors of 57328 are 2, 3583. Prime factorization of 57328 in exponential form is:

57328 = 2⁴ × 3583¹

Step-2: 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-3: Factors of 57328

List of positive integer factors of 57328 that divides 57328 without a remainder.

1, 2, 4, 8, 16, 3583, 7166, 14332, 28664

Step-4: Factors of 57340

List of positive integer factors of 57340 that divides 57328 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57328 and 57340. The biggest common factor number is the GCF number.
So the greatest common factor 57328 and 57340 is 4.

Also check out the Least Common Multiple of 57328 and 57340