What is the Greatest Common Factor of 9385 and 9405?

Greatest common factor (GCF) of 9385 and 9405 is 5.

GCF(9385,9405) = 5

We will now calculate the prime factors of 9385 and 9405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9385 and 9405.

How to find the GCF of 9385 and 9405?

We will first find the prime factorization of 9385 and 9405. After we will calculate the factors of 9385 and 9405 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 9405

Prime factors of 9405 are 3, 5, 11, 19. Prime factorization of 9405 in exponential form is:

9405 = 3² × 5¹ × 11¹ × 19¹

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 9405

List of positive integer factors of 9405 that divides 9385 without a remainder.

1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9385 and 9405. The biggest common factor number is the GCF number.
So the greatest common factor 9385 and 9405 is 5.

Also check out the Least Common Multiple of 9385 and 9405