What is the Greatest Common Factor of 57589 and 57609?

Greatest common factor (GCF) of 57589 and 57609 is 1.

GCF(57589,57609) = 1

We will now calculate the prime factors of 57589 and 57609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57589 and 57609.

How to find the GCF of 57589 and 57609?

We will first find the prime factorization of 57589 and 57609. After we will calculate the factors of 57589 and 57609 and find the biggest common factor number .

Step-1: Prime Factorization of 57589

Prime factors of 57589 are 7, 19, 433. Prime factorization of 57589 in exponential form is:

57589 = 7¹ × 19¹ × 433¹

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 57589

List of positive integer factors of 57589 that divides 57589 without a remainder.

1, 7, 19, 133, 433, 3031, 8227

Step-4: Factors of 57609

List of positive integer factors of 57609 that divides 57589 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 57589 and 57609. The biggest common factor number is the GCF number.
So the greatest common factor 57589 and 57609 is 1.

Also check out the Least Common Multiple of 57589 and 57609