What is the Greatest Common Factor of 57556 and 57568?

Greatest common factor (GCF) of 57556 and 57568 is 4.

GCF(57556,57568) = 4

We will now calculate the prime factors of 57556 and 57568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57556 and 57568.

How to find the GCF of 57556 and 57568?

We will first find the prime factorization of 57556 and 57568. After we will calculate the factors of 57556 and 57568 and find the biggest common factor number .

Step-1: Prime Factorization of 57556

Prime factors of 57556 are 2, 14389. Prime factorization of 57556 in exponential form is:

57556 = 2² × 14389¹

Step-2: Prime Factorization of 57568

Prime factors of 57568 are 2, 7, 257. Prime factorization of 57568 in exponential form is:

57568 = 2⁵ × 7¹ × 257¹

Step-3: Factors of 57556

List of positive integer factors of 57556 that divides 57556 without a remainder.

1, 2, 4, 14389, 28778

Step-4: Factors of 57568

List of positive integer factors of 57568 that divides 57556 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 257, 514, 1028, 1799, 2056, 3598, 4112, 7196, 8224, 14392, 28784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57556 and 57568. The biggest common factor number is the GCF number.
So the greatest common factor 57556 and 57568 is 4.

Also check out the Least Common Multiple of 57556 and 57568