What is the Greatest Common Factor of 9376 and 9384?

Greatest common factor (GCF) of 9376 and 9384 is 8.

GCF(9376,9384) = 8

We will now calculate the prime factors of 9376 and 9384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9376 and 9384.

How to find the GCF of 9376 and 9384?

We will first find the prime factorization of 9376 and 9384. After we will calculate the factors of 9376 and 9384 and find the biggest common factor number .

Step-1: Prime Factorization of 9376

Prime factors of 9376 are 2, 293. Prime factorization of 9376 in exponential form is:

9376 = 2⁵ × 293¹

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 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688

Step-4: Factors of 9384

List of positive integer factors of 9384 that divides 9376 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 9376 and 9384. The biggest common factor number is the GCF number.
So the greatest common factor 9376 and 9384 is 8.

Also check out the Least Common Multiple of 9376 and 9384