What is the Greatest Common Factor of 90405 and 90414?

Greatest common factor (GCF) of 90405 and 90414 is 9.

GCF(90405,90414) = 9

We will now calculate the prime factors of 90405 and 90414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90405 and 90414.

How to find the GCF of 90405 and 90414?

We will first find the prime factorization of 90405 and 90414. After we will calculate the factors of 90405 and 90414 and find the biggest common factor number .

Step-1: Prime Factorization of 90405

Prime factors of 90405 are 3, 5, 7, 41. Prime factorization of 90405 in exponential form is:

90405 = 3² × 5¹ × 7² × 41¹

Step-2: Prime Factorization of 90414

Prime factors of 90414 are 2, 3, 5023. Prime factorization of 90414 in exponential form is:

90414 = 2¹ × 3² × 5023¹

Step-3: Factors of 90405

List of positive integer factors of 90405 that divides 90405 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 41, 45, 49, 63, 105, 123, 147, 205, 245, 287, 315, 369, 441, 615, 735, 861, 1435, 1845, 2009, 2205, 2583, 4305, 6027, 10045, 12915, 18081, 30135

Step-4: Factors of 90414

List of positive integer factors of 90414 that divides 90405 without a remainder.

1, 2, 3, 6, 9, 18, 5023, 10046, 15069, 30138, 45207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90405 and 90414. The biggest common factor number is the GCF number.
So the greatest common factor 90405 and 90414 is 9.

Also check out the Least Common Multiple of 90405 and 90414