What is the Greatest Common Factor of 15580 and 15584?

Greatest common factor (GCF) of 15580 and 15584 is 4.

GCF(15580,15584) = 4

We will now calculate the prime factors of 15580 and 15584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15580 and 15584.

How to find the GCF of 15580 and 15584?

We will first find the prime factorization of 15580 and 15584. After we will calculate the factors of 15580 and 15584 and find the biggest common factor number .

Step-1: Prime Factorization of 15580

Prime factors of 15580 are 2, 5, 19, 41. Prime factorization of 15580 in exponential form is:

15580 = 2² × 5¹ × 19¹ × 41¹

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 15580

List of positive integer factors of 15580 that divides 15580 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 41, 76, 82, 95, 164, 190, 205, 380, 410, 779, 820, 1558, 3116, 3895, 7790

Step-4: Factors of 15584

List of positive integer factors of 15584 that divides 15580 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 15580 and 15584. The biggest common factor number is the GCF number.
So the greatest common factor 15580 and 15584 is 4.

Also check out the Least Common Multiple of 15580 and 15584