What is the Greatest Common Factor of 11584 and 11602?

Greatest common factor (GCF) of 11584 and 11602 is 2.

GCF(11584,11602) = 2

We will now calculate the prime factors of 11584 and 11602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11584 and 11602.

How to find the GCF of 11584 and 11602?

We will first find the prime factorization of 11584 and 11602. After we will calculate the factors of 11584 and 11602 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 11602

Prime factors of 11602 are 2, 5801. Prime factorization of 11602 in exponential form is:

11602 = 2¹ × 5801¹

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 11602

List of positive integer factors of 11602 that divides 11584 without a remainder.

1, 2, 5801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11584 and 11602. The biggest common factor number is the GCF number.
So the greatest common factor 11584 and 11602 is 2.

Also check out the Least Common Multiple of 11584 and 11602