What is the Greatest Common Factor of 57569 and 57577?

Greatest common factor (GCF) of 57569 and 57577 is 1.

GCF(57569,57577) = 1

We will now calculate the prime factors of 57569 and 57577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57569 and 57577.

How to find the GCF of 57569 and 57577?

We will first find the prime factorization of 57569 and 57577. After we will calculate the factors of 57569 and 57577 and find the biggest common factor number .

Step-1: Prime Factorization of 57569

Prime factors of 57569 are 23, 2503. Prime factorization of 57569 in exponential form is:

57569 = 23¹ × 2503¹

Step-2: Prime Factorization of 57577

Prime factors of 57577 are 13, 43, 103. Prime factorization of 57577 in exponential form is:

57577 = 13¹ × 43¹ × 103¹

Step-3: Factors of 57569

List of positive integer factors of 57569 that divides 57569 without a remainder.

1, 23, 2503

Step-4: Factors of 57577

List of positive integer factors of 57577 that divides 57569 without a remainder.

1, 13, 43, 103, 559, 1339, 4429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57569 and 57577. The biggest common factor number is the GCF number.
So the greatest common factor 57569 and 57577 is 1.

Also check out the Least Common Multiple of 57569 and 57577