What is the Greatest Common Factor of 11566 and 11585?

Greatest common factor (GCF) of 11566 and 11585 is 1.

GCF(11566,11585) = 1

We will now calculate the prime factors of 11566 and 11585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11566 and 11585.

How to find the GCF of 11566 and 11585?

We will first find the prime factorization of 11566 and 11585. After we will calculate the factors of 11566 and 11585 and find the biggest common factor number .

Step-1: Prime Factorization of 11566

Prime factors of 11566 are 2, 5783. Prime factorization of 11566 in exponential form is:

11566 = 2¹ × 5783¹

Step-2: 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-3: Factors of 11566

List of positive integer factors of 11566 that divides 11566 without a remainder.

1, 2, 5783

Step-4: Factors of 11585

List of positive integer factors of 11585 that divides 11566 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11566 and 11585. The biggest common factor number is the GCF number.
So the greatest common factor 11566 and 11585 is 1.

Also check out the Least Common Multiple of 11566 and 11585