What is the Greatest Common Factor of 11585 and 11596?

Greatest common factor (GCF) of 11585 and 11596 is 1.

GCF(11585,11596) = 1

We will now calculate the prime factors of 11585 and 11596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11585 and 11596.

How to find the GCF of 11585 and 11596?

We will first find the prime factorization of 11585 and 11596. After we will calculate the factors of 11585 and 11596 and find the biggest common factor number .

Step-1: Prime Factorization of 11585

Prime factors of 11585 are 5, 7, 331. Prime factorization of 11585 in exponential form is:

11585 = 5¹ × 7¹ × 331¹

Step-2: Prime Factorization of 11596

Prime factors of 11596 are 2, 13, 223. Prime factorization of 11596 in exponential form is:

11596 = 2² × 13¹ × 223¹

Step-3: Factors of 11585

List of positive integer factors of 11585 that divides 11585 without a remainder.

1, 5, 7, 35, 331, 1655, 2317

Step-4: Factors of 11596

List of positive integer factors of 11596 that divides 11585 without a remainder.

1, 2, 4, 13, 26, 52, 223, 446, 892, 2899, 5798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11585 and 11596. The biggest common factor number is the GCF number.
So the greatest common factor 11585 and 11596 is 1.

Also check out the Least Common Multiple of 11585 and 11596