What is the Greatest Common Factor of 15580 and 15600?

Greatest common factor (GCF) of 15580 and 15600 is 20.

GCF(15580,15600) = 20

We will now calculate the prime factors of 15580 and 15600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15580 and 15600.

How to find the GCF of 15580 and 15600?

We will first find the prime factorization of 15580 and 15600. After we will calculate the factors of 15580 and 15600 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 15600

Prime factors of 15600 are 2, 3, 5, 13. Prime factorization of 15600 in exponential form is:

15600 = 2⁴ × 3¹ × 5² × 13¹

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 15600

List of positive integer factors of 15600 that divides 15580 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 25, 26, 30, 39, 40, 48, 50, 52, 60, 65, 75, 78, 80, 100, 104, 120, 130, 150, 156, 195, 200, 208, 240, 260, 300, 312, 325, 390, 400, 520, 600, 624, 650, 780, 975, 1040, 1200, 1300, 1560, 1950, 2600, 3120, 3900, 5200, 7800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15580 and 15600. The biggest common factor number is the GCF number.
So the greatest common factor 15580 and 15600 is 20.

Also check out the Least Common Multiple of 15580 and 15600