What is the Greatest Common Factor of 9339 and 9348?

Greatest common factor (GCF) of 9339 and 9348 is 3.

GCF(9339,9348) = 3

We will now calculate the prime factors of 9339 and 9348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9339 and 9348.

How to find the GCF of 9339 and 9348?

We will first find the prime factorization of 9339 and 9348. After we will calculate the factors of 9339 and 9348 and find the biggest common factor number .

Step-1: Prime Factorization of 9339

Prime factors of 9339 are 3, 11, 283. Prime factorization of 9339 in exponential form is:

9339 = 3¹ × 11¹ × 283¹

Step-2: Prime Factorization of 9348

Prime factors of 9348 are 2, 3, 19, 41. Prime factorization of 9348 in exponential form is:

9348 = 2² × 3¹ × 19¹ × 41¹

Step-3: Factors of 9339

List of positive integer factors of 9339 that divides 9339 without a remainder.

1, 3, 11, 33, 283, 849, 3113

Step-4: Factors of 9348

List of positive integer factors of 9348 that divides 9339 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9339 and 9348. The biggest common factor number is the GCF number.
So the greatest common factor 9339 and 9348 is 3.

Also check out the Least Common Multiple of 9339 and 9348