What is the Greatest Common Factor of 75587 and 75600?

Greatest common factor (GCF) of 75587 and 75600 is 1.

GCF(75587,75600) = 1

We will now calculate the prime factors of 75587 and 75600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75587 and 75600.

How to find the GCF of 75587 and 75600?

We will first find the prime factorization of 75587 and 75600. After we will calculate the factors of 75587 and 75600 and find the biggest common factor number .

Step-1: Prime Factorization of 75587

Prime factors of 75587 are 131, 577. Prime factorization of 75587 in exponential form is:

75587 = 131¹ × 577¹

Step-2: Prime Factorization of 75600

Prime factors of 75600 are 2, 3, 5, 7. Prime factorization of 75600 in exponential form is:

75600 = 2⁴ × 3³ × 5² × 7¹

Step-3: Factors of 75587

List of positive integer factors of 75587 that divides 75587 without a remainder.

1, 131, 577

Step-4: Factors of 75600

List of positive integer factors of 75600 that divides 75587 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 63, 70, 72, 75, 80, 84, 90, 100, 105, 108, 112, 120, 126, 135, 140, 144, 150, 168, 175, 180, 189, 200, 210, 216, 225, 240, 252, 270, 280, 300, 315, 336, 350, 360, 378, 400, 420, 432, 450, 504, 525, 540, 560, 600, 630, 675, 700, 720, 756, 840, 900, 945, 1008, 1050, 1080, 1200, 1260, 1350, 1400, 1512, 1575, 1680, 1800, 1890, 2100, 2160, 2520, 2700, 2800, 3024, 3150, 3600, 3780, 4200, 4725, 5040, 5400, 6300, 7560, 8400, 9450, 10800, 12600, 15120, 18900, 25200, 37800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75587 and 75600. The biggest common factor number is the GCF number.
So the greatest common factor 75587 and 75600 is 1.

Also check out the Least Common Multiple of 75587 and 75600