What is the Greatest Common Factor of 9589 and 9601?

Greatest common factor (GCF) of 9589 and 9601 is 1.

GCF(9589,9601) = 1

We will now calculate the prime factors of 9589 and 9601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9589 and 9601.

How to find the GCF of 9589 and 9601?

We will first find the prime factorization of 9589 and 9601. After we will calculate the factors of 9589 and 9601 and find the biggest common factor number .

Step-1: Prime Factorization of 9589

Prime factors of 9589 are 43, 223. Prime factorization of 9589 in exponential form is:

9589 = 43¹ × 223¹

Step-2: Prime Factorization of 9601

Prime factors of 9601 are 9601. Prime factorization of 9601 in exponential form is:

9601 = 9601¹

Step-3: Factors of 9589

List of positive integer factors of 9589 that divides 9589 without a remainder.

1, 43, 223

Step-4: Factors of 9601

List of positive integer factors of 9601 that divides 9589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9589 and 9601. The biggest common factor number is the GCF number.
So the greatest common factor 9589 and 9601 is 1.

Also check out the Least Common Multiple of 9589 and 9601