What is the Greatest Common Factor of 9364 and 9384?

Greatest common factor (GCF) of 9364 and 9384 is 4.

GCF(9364,9384) = 4

We will now calculate the prime factors of 9364 and 9384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9364 and 9384.

How to find the GCF of 9364 and 9384?

We will first find the prime factorization of 9364 and 9384. After we will calculate the factors of 9364 and 9384 and find the biggest common factor number .

Step-1: Prime Factorization of 9364

Prime factors of 9364 are 2, 2341. Prime factorization of 9364 in exponential form is:

9364 = 2² × 2341¹

Step-2: 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-3: Factors of 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1, 2, 4, 2341, 4682

Step-4: Factors of 9384

List of positive integer factors of 9384 that divides 9364 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9364 and 9384. The biggest common factor number is the GCF number.
So the greatest common factor 9364 and 9384 is 4.

Also check out the Least Common Multiple of 9364 and 9384