What is the Greatest Common Factor of 90399 and 90405?

Greatest common factor (GCF) of 90399 and 90405 is 3.

GCF(90399,90405) = 3

We will now calculate the prime factors of 90399 and 90405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90399 and 90405.

How to find the GCF of 90399 and 90405?

We will first find the prime factorization of 90399 and 90405. After we will calculate the factors of 90399 and 90405 and find the biggest common factor number .

Step-1: Prime Factorization of 90399

Prime factors of 90399 are 3, 30133. Prime factorization of 90399 in exponential form is:

90399 = 3¹ × 30133¹

Step-2: 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-3: Factors of 90399

List of positive integer factors of 90399 that divides 90399 without a remainder.

1, 3, 30133

Step-4: Factors of 90405

List of positive integer factors of 90405 that divides 90399 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90399 and 90405. The biggest common factor number is the GCF number.
So the greatest common factor 90399 and 90405 is 3.

Also check out the Least Common Multiple of 90399 and 90405