What is the Greatest Common Factor of 57599 and 57609?

Greatest common factor (GCF) of 57599 and 57609 is 1.

GCF(57599,57609) = 1

We will now calculate the prime factors of 57599 and 57609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57599 and 57609.

How to find the GCF of 57599 and 57609?

We will first find the prime factorization of 57599 and 57609. After we will calculate the factors of 57599 and 57609 and find the biggest common factor number .

Step-1: Prime Factorization of 57599

Prime factors of 57599 are 239, 241. Prime factorization of 57599 in exponential form is:

57599 = 239¹ × 241¹

Step-2: Prime Factorization of 57609

Prime factors of 57609 are 3, 37, 173. Prime factorization of 57609 in exponential form is:

57609 = 3² × 37¹ × 173¹

Step-3: Factors of 57599

List of positive integer factors of 57599 that divides 57599 without a remainder.

1, 239, 241

Step-4: Factors of 57609

List of positive integer factors of 57609 that divides 57599 without a remainder.

1, 3, 9, 37, 111, 173, 333, 519, 1557, 6401, 19203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57599 and 57609. The biggest common factor number is the GCF number.
So the greatest common factor 57599 and 57609 is 1.

Also check out the Least Common Multiple of 57599 and 57609