What is the Greatest Common Factor of 11578 and 11584?

Greatest common factor (GCF) of 11578 and 11584 is 2.

GCF(11578,11584) = 2

We will now calculate the prime factors of 11578 and 11584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11578 and 11584.

How to find the GCF of 11578 and 11584?

We will first find the prime factorization of 11578 and 11584. After we will calculate the factors of 11578 and 11584 and find the biggest common factor number .

Step-1: Prime Factorization of 11578

Prime factors of 11578 are 2, 7, 827. Prime factorization of 11578 in exponential form is:

11578 = 2¹ × 7¹ × 827¹

Step-2: Prime Factorization of 11584

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

11584 = 2⁶ × 181¹

Step-3: Factors of 11578

List of positive integer factors of 11578 that divides 11578 without a remainder.

1, 2, 7, 14, 827, 1654, 5789

Step-4: Factors of 11584

List of positive integer factors of 11584 that divides 11578 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11578 and 11584. The biggest common factor number is the GCF number.
So the greatest common factor 11578 and 11584 is 2.

Also check out the Least Common Multiple of 11578 and 11584