What is the Greatest Common Factor of 90385 and 90405?

Greatest common factor (GCF) of 90385 and 90405 is 5.

GCF(90385,90405) = 5

We will now calculate the prime factors of 90385 and 90405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90385 and 90405.

How to find the GCF of 90385 and 90405?

We will first find the prime factorization of 90385 and 90405. After we will calculate the factors of 90385 and 90405 and find the biggest common factor number .

Step-1: Prime Factorization of 90385

Prime factors of 90385 are 5, 18077. Prime factorization of 90385 in exponential form is:

90385 = 5¹ × 18077¹

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 90385

List of positive integer factors of 90385 that divides 90385 without a remainder.

1, 5, 18077

Step-4: Factors of 90405

List of positive integer factors of 90405 that divides 90385 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 90385 and 90405. The biggest common factor number is the GCF number.
So the greatest common factor 90385 and 90405 is 5.

Also check out the Least Common Multiple of 90385 and 90405