What is the Greatest Common Factor of 57589 and 57608?

Greatest common factor (GCF) of 57589 and 57608 is 19.

GCF(57589,57608) = 19

We will now calculate the prime factors of 57589 and 57608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57589 and 57608.

How to find the GCF of 57589 and 57608?

We will first find the prime factorization of 57589 and 57608. After we will calculate the factors of 57589 and 57608 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 57608

Prime factors of 57608 are 2, 19, 379. Prime factorization of 57608 in exponential form is:

57608 = 2³ × 19¹ × 379¹

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 57608

List of positive integer factors of 57608 that divides 57589 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 379, 758, 1516, 3032, 7201, 14402, 28804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57589 and 57608. The biggest common factor number is the GCF number.
So the greatest common factor 57589 and 57608 is 19.

Also check out the Least Common Multiple of 57589 and 57608