What is the Greatest Common Factor of 9384 and 9396?

Greatest common factor (GCF) of 9384 and 9396 is 12.

GCF(9384,9396) = 12

We will now calculate the prime factors of 9384 and 9396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9384 and 9396.

How to find the GCF of 9384 and 9396?

We will first find the prime factorization of 9384 and 9396. After we will calculate the factors of 9384 and 9396 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 9396

Prime factors of 9396 are 2, 3, 29. Prime factorization of 9396 in exponential form is:

9396 = 2² × 3⁴ × 29¹

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 9396

List of positive integer factors of 9396 that divides 9384 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9384 and 9396. The biggest common factor number is the GCF number.
So the greatest common factor 9384 and 9396 is 12.

Also check out the Least Common Multiple of 9384 and 9396