What is the Greatest Common Factor of 57675 and 57689?

Greatest common factor (GCF) of 57675 and 57689 is 1.

GCF(57675,57689) = 1

We will now calculate the prime factors of 57675 and 57689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57675 and 57689.

How to find the GCF of 57675 and 57689?

We will first find the prime factorization of 57675 and 57689. After we will calculate the factors of 57675 and 57689 and find the biggest common factor number .

Step-1: Prime Factorization of 57675

Prime factors of 57675 are 3, 5, 769. Prime factorization of 57675 in exponential form is:

57675 = 3¹ × 5² × 769¹

Step-2: Prime Factorization of 57689

Prime factors of 57689 are 57689. Prime factorization of 57689 in exponential form is:

57689 = 57689¹

Step-3: Factors of 57675

List of positive integer factors of 57675 that divides 57675 without a remainder.

1, 3, 5, 15, 25, 75, 769, 2307, 3845, 11535, 19225

Step-4: Factors of 57689

List of positive integer factors of 57689 that divides 57675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57675 and 57689. The biggest common factor number is the GCF number.
So the greatest common factor 57675 and 57689 is 1.

Also check out the Least Common Multiple of 57675 and 57689