What is the Greatest Common Factor of 11584 and 11590?

Greatest common factor (GCF) of 11584 and 11590 is 2.

GCF(11584,11590) = 2

We will now calculate the prime factors of 11584 and 11590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11584 and 11590.

How to find the GCF of 11584 and 11590?

We will first find the prime factorization of 11584 and 11590. After we will calculate the factors of 11584 and 11590 and find the biggest common factor number .

Step-1: Prime Factorization of 11584

Prime factors of 11584 are 2, 181. Prime factorization of 11584 in exponential form is:

11584 = 2⁶ × 181¹

Step-2: Prime Factorization of 11590

Prime factors of 11590 are 2, 5, 19, 61. Prime factorization of 11590 in exponential form is:

11590 = 2¹ × 5¹ × 19¹ × 61¹

Step-3: Factors of 11584

List of positive integer factors of 11584 that divides 11584 without a remainder.

1, 2, 4, 8, 16, 32, 64, 181, 362, 724, 1448, 2896, 5792

Step-4: Factors of 11590

List of positive integer factors of 11590 that divides 11584 without a remainder.

1, 2, 5, 10, 19, 38, 61, 95, 122, 190, 305, 610, 1159, 2318, 5795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11584 and 11590. The biggest common factor number is the GCF number.
So the greatest common factor 11584 and 11590 is 2.

Also check out the Least Common Multiple of 11584 and 11590