What is the Greatest Common Factor of 90585 and 90596?

Greatest common factor (GCF) of 90585 and 90596 is 11.

GCF(90585,90596) = 11

We will now calculate the prime factors of 90585 and 90596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90585 and 90596.

How to find the GCF of 90585 and 90596?

We will first find the prime factorization of 90585 and 90596. After we will calculate the factors of 90585 and 90596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90596

Prime factors of 90596 are 2, 11, 29, 71. Prime factorization of 90596 in exponential form is:

90596 = 2² × 11¹ × 29¹ × 71¹

Step-3: Factors of 90585

List of positive integer factors of 90585 that divides 90585 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

Step-4: Factors of 90596

List of positive integer factors of 90596 that divides 90585 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 71, 116, 142, 284, 319, 638, 781, 1276, 1562, 2059, 3124, 4118, 8236, 22649, 45298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90585 and 90596. The biggest common factor number is the GCF number.
So the greatest common factor 90585 and 90596 is 11.

Also check out the Least Common Multiple of 90585 and 90596