What is the Greatest Common Factor of 9384 and 9399?

Greatest common factor (GCF) of 9384 and 9399 is 3.

GCF(9384,9399) = 3

We will now calculate the prime factors of 9384 and 9399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9384 and 9399.

How to find the GCF of 9384 and 9399?

We will first find the prime factorization of 9384 and 9399. After we will calculate the factors of 9384 and 9399 and find the biggest common factor number .

Step-1: Prime Factorization of 9384

Prime factors of 9384 are 2, 3, 17, 23. Prime factorization of 9384 in exponential form is:

9384 = 2³ × 3¹ × 17¹ × 23¹

Step-2: Prime Factorization of 9399

Prime factors of 9399 are 3, 13, 241. Prime factorization of 9399 in exponential form is:

9399 = 3¹ × 13¹ × 241¹

Step-3: Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692

Step-4: Factors of 9399

List of positive integer factors of 9399 that divides 9384 without a remainder.

1, 3, 13, 39, 241, 723, 3133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9384 and 9399. The biggest common factor number is the GCF number.
So the greatest common factor 9384 and 9399 is 3.

Also check out the Least Common Multiple of 9384 and 9399