What is the Greatest Common Factor of 15584 and 15602?

Greatest common factor (GCF) of 15584 and 15602 is 2.

GCF(15584,15602) = 2

We will now calculate the prime factors of 15584 and 15602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15584 and 15602.

How to find the GCF of 15584 and 15602?

We will first find the prime factorization of 15584 and 15602. After we will calculate the factors of 15584 and 15602 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 15602

Prime factors of 15602 are 2, 29, 269. Prime factorization of 15602 in exponential form is:

15602 = 2¹ × 29¹ × 269¹

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 15602

List of positive integer factors of 15602 that divides 15584 without a remainder.

1, 2, 29, 58, 269, 538, 7801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15584 and 15602. The biggest common factor number is the GCF number.
So the greatest common factor 15584 and 15602 is 2.

Also check out the Least Common Multiple of 15584 and 15602