What is the Greatest Common Factor of 9385 and 9396?

Greatest common factor (GCF) of 9385 and 9396 is 1.

GCF(9385,9396) = 1

We will now calculate the prime factors of 9385 and 9396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9385 and 9396.

How to find the GCF of 9385 and 9396?

We will first find the prime factorization of 9385 and 9396. After we will calculate the factors of 9385 and 9396 and find the biggest common factor number .

Step-1: Prime Factorization of 9385

Prime factors of 9385 are 5, 1877. Prime factorization of 9385 in exponential form is:

9385 = 5¹ × 1877¹

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 9385

List of positive integer factors of 9385 that divides 9385 without a remainder.

1, 5, 1877

Step-4: Factors of 9396

List of positive integer factors of 9396 that divides 9385 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 9385 and 9396. The biggest common factor number is the GCF number.
So the greatest common factor 9385 and 9396 is 1.

Also check out the Least Common Multiple of 9385 and 9396