What is the Greatest Common Factor of 9405 and 9414?

Greatest common factor (GCF) of 9405 and 9414 is 9.

GCF(9405,9414) = 9

We will now calculate the prime factors of 9405 and 9414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9405 and 9414.

How to find the GCF of 9405 and 9414?

We will first find the prime factorization of 9405 and 9414. After we will calculate the factors of 9405 and 9414 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 9414

Prime factors of 9414 are 2, 3, 523. Prime factorization of 9414 in exponential form is:

9414 = 2¹ × 3² × 523¹

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 9414

List of positive integer factors of 9414 that divides 9405 without a remainder.

1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9405 and 9414. The biggest common factor number is the GCF number.
So the greatest common factor 9405 and 9414 is 9.

Also check out the Least Common Multiple of 9405 and 9414