What is the Greatest Common Factor of 9405 and 9421?

Greatest common factor (GCF) of 9405 and 9421 is 1.

GCF(9405,9421) = 1

We will now calculate the prime factors of 9405 and 9421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9405 and 9421.

How to find the GCF of 9405 and 9421?

We will first find the prime factorization of 9405 and 9421. After we will calculate the factors of 9405 and 9421 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 9421

Prime factors of 9421 are 9421. Prime factorization of 9421 in exponential form is:

9421 = 9421¹

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 9421

List of positive integer factors of 9421 that divides 9405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9405 and 9421. The biggest common factor number is the GCF number.
So the greatest common factor 9405 and 9421 is 1.

Also check out the Least Common Multiple of 9405 and 9421