What is the Greatest Common Factor of 9384 and 9404?

Greatest common factor (GCF) of 9384 and 9404 is 4.

GCF(9384,9404) = 4

We will now calculate the prime factors of 9384 and 9404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9384 and 9404.

How to find the GCF of 9384 and 9404?

We will first find the prime factorization of 9384 and 9404. After we will calculate the factors of 9384 and 9404 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 9404

Prime factors of 9404 are 2, 2351. Prime factorization of 9404 in exponential form is:

9404 = 2² × 2351¹

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 9404

List of positive integer factors of 9404 that divides 9384 without a remainder.

1, 2, 4, 2351, 4702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9384 and 9404. The biggest common factor number is the GCF number.
So the greatest common factor 9384 and 9404 is 4.

Also check out the Least Common Multiple of 9384 and 9404