What is the Greatest Common Factor of 9405 and 9409?

Greatest common factor (GCF) of 9405 and 9409 is 1.

GCF(9405,9409) = 1

We will now calculate the prime factors of 9405 and 9409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9405 and 9409.

How to find the GCF of 9405 and 9409?

We will first find the prime factorization of 9405 and 9409. After we will calculate the factors of 9405 and 9409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9409

Prime factors of 9409 are 97. Prime factorization of 9409 in exponential form is:

9409 = 97²

Step-3: Factors of 9405

List of positive integer factors of 9405 that divides 9405 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

Step-4: Factors of 9409

List of positive integer factors of 9409 that divides 9405 without a remainder.

1, 97

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9405 and 9409. The biggest common factor number is the GCF number.
So the greatest common factor 9405 and 9409 is 1.

Also check out the Least Common Multiple of 9405 and 9409