What is the Greatest Common Factor of 15582 and 15600?

Greatest common factor (GCF) of 15582 and 15600 is 6.

GCF(15582,15600) = 6

We will now calculate the prime factors of 15582 and 15600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15582 and 15600.

How to find the GCF of 15582 and 15600?

We will first find the prime factorization of 15582 and 15600. After we will calculate the factors of 15582 and 15600 and find the biggest common factor number .

Step-1: Prime Factorization of 15582

Prime factors of 15582 are 2, 3, 7, 53. Prime factorization of 15582 in exponential form is:

15582 = 2¹ × 3¹ × 7² × 53¹

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 15582

List of positive integer factors of 15582 that divides 15582 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 53, 98, 106, 147, 159, 294, 318, 371, 742, 1113, 2226, 2597, 5194, 7791

Step-4: Factors of 15600

List of positive integer factors of 15600 that divides 15582 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 15582 and 15600. The biggest common factor number is the GCF number.
So the greatest common factor 15582 and 15600 is 6.

Also check out the Least Common Multiple of 15582 and 15600