What is the Greatest Common Factor of 15584 and 15592?

Greatest common factor (GCF) of 15584 and 15592 is 8.

GCF(15584,15592) = 8

We will now calculate the prime factors of 15584 and 15592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15584 and 15592.

How to find the GCF of 15584 and 15592?

We will first find the prime factorization of 15584 and 15592. After we will calculate the factors of 15584 and 15592 and find the biggest common factor number .

Step-1: Prime Factorization of 15584

Prime factors of 15584 are 2, 487. Prime factorization of 15584 in exponential form is:

15584 = 2⁵ × 487¹

Step-2: Prime Factorization of 15592

Prime factors of 15592 are 2, 1949. Prime factorization of 15592 in exponential form is:

15592 = 2³ × 1949¹

Step-3: Factors of 15584

List of positive integer factors of 15584 that divides 15584 without a remainder.

1, 2, 4, 8, 16, 32, 487, 974, 1948, 3896, 7792

Step-4: Factors of 15592

List of positive integer factors of 15592 that divides 15584 without a remainder.

1, 2, 4, 8, 1949, 3898, 7796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15584 and 15592. The biggest common factor number is the GCF number.
So the greatest common factor 15584 and 15592 is 8.

Also check out the Least Common Multiple of 15584 and 15592