What is the Greatest Common Factor of 9584 and 9594?

Greatest common factor (GCF) of 9584 and 9594 is 2.

GCF(9584,9594) = 2

We will now calculate the prime factors of 9584 and 9594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9584 and 9594.

How to find the GCF of 9584 and 9594?

We will first find the prime factorization of 9584 and 9594. After we will calculate the factors of 9584 and 9594 and find the biggest common factor number .

Step-1: Prime Factorization of 9584

Prime factors of 9584 are 2, 599. Prime factorization of 9584 in exponential form is:

9584 = 2⁴ × 599¹

Step-2: Prime Factorization of 9594

Prime factors of 9594 are 2, 3, 13, 41. Prime factorization of 9594 in exponential form is:

9594 = 2¹ × 3² × 13¹ × 41¹

Step-3: Factors of 9584

List of positive integer factors of 9584 that divides 9584 without a remainder.

1, 2, 4, 8, 16, 599, 1198, 2396, 4792

Step-4: Factors of 9594

List of positive integer factors of 9594 that divides 9584 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9584 and 9594. The biggest common factor number is the GCF number.
So the greatest common factor 9584 and 9594 is 2.

Also check out the Least Common Multiple of 9584 and 9594