What is the Greatest Common Factor of 9589 and 9608?

Greatest common factor (GCF) of 9589 and 9608 is 1.

GCF(9589,9608) = 1

We will now calculate the prime factors of 9589 and 9608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9589 and 9608.

How to find the GCF of 9589 and 9608?

We will first find the prime factorization of 9589 and 9608. After we will calculate the factors of 9589 and 9608 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 9608

Prime factors of 9608 are 2, 1201. Prime factorization of 9608 in exponential form is:

9608 = 2³ × 1201¹

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 9608

List of positive integer factors of 9608 that divides 9589 without a remainder.

1, 2, 4, 8, 1201, 2402, 4804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9589 and 9608. The biggest common factor number is the GCF number.
So the greatest common factor 9589 and 9608 is 1.

Also check out the Least Common Multiple of 9589 and 9608