What is the Greatest Common Factor of 57563 and 57568?

Greatest common factor (GCF) of 57563 and 57568 is 1.

GCF(57563,57568) = 1

We will now calculate the prime factors of 57563 and 57568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57563 and 57568.

How to find the GCF of 57563 and 57568?

We will first find the prime factorization of 57563 and 57568. After we will calculate the factors of 57563 and 57568 and find the biggest common factor number .

Step-1: Prime Factorization of 57563

Prime factors of 57563 are 11, 5233. Prime factorization of 57563 in exponential form is:

57563 = 11¹ × 5233¹

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 57563

List of positive integer factors of 57563 that divides 57563 without a remainder.

1, 11, 5233

Step-4: Factors of 57568

List of positive integer factors of 57568 that divides 57563 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 57563 and 57568. The biggest common factor number is the GCF number.
So the greatest common factor 57563 and 57568 is 1.

Also check out the Least Common Multiple of 57563 and 57568