What is the Greatest Common Factor of 15568 and 15584?

Greatest common factor (GCF) of 15568 and 15584 is 16.

GCF(15568,15584) = 16

We will now calculate the prime factors of 15568 and 15584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15568 and 15584.

How to find the GCF of 15568 and 15584?

We will first find the prime factorization of 15568 and 15584. After we will calculate the factors of 15568 and 15584 and find the biggest common factor number .

Step-1: Prime Factorization of 15568

Prime factors of 15568 are 2, 7, 139. Prime factorization of 15568 in exponential form is:

15568 = 2⁴ × 7¹ × 139¹

Step-2: Prime Factorization of 15584

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

15584 = 2⁵ × 487¹

Step-3: Factors of 15568

List of positive integer factors of 15568 that divides 15568 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 139, 278, 556, 973, 1112, 1946, 2224, 3892, 7784

Step-4: Factors of 15584

List of positive integer factors of 15584 that divides 15568 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15568 and 15584. The biggest common factor number is the GCF number.
So the greatest common factor 15568 and 15584 is 16.

Also check out the Least Common Multiple of 15568 and 15584