What is the Greatest Common Factor of 90581 and 90585?

Greatest common factor (GCF) of 90581 and 90585 is 1.

GCF(90581,90585) = 1

We will now calculate the prime factors of 90581 and 90585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90581 and 90585.

How to find the GCF of 90581 and 90585?

We will first find the prime factorization of 90581 and 90585. After we will calculate the factors of 90581 and 90585 and find the biggest common factor number .

Step-1: Prime Factorization of 90581

Prime factors of 90581 are 239, 379. Prime factorization of 90581 in exponential form is:

90581 = 239¹ × 379¹

Step-2: Prime Factorization of 90585

Prime factors of 90585 are 3, 5, 11, 61. Prime factorization of 90585 in exponential form is:

90585 = 3³ × 5¹ × 11¹ × 61¹

Step-3: Factors of 90581

List of positive integer factors of 90581 that divides 90581 without a remainder.

1, 239, 379

Step-4: Factors of 90585

List of positive integer factors of 90585 that divides 90581 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 61, 99, 135, 165, 183, 297, 305, 495, 549, 671, 915, 1485, 1647, 2013, 2745, 3355, 6039, 8235, 10065, 18117, 30195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90581 and 90585. The biggest common factor number is the GCF number.
So the greatest common factor 90581 and 90585 is 1.

Also check out the Least Common Multiple of 90581 and 90585