What is the Greatest Common Factor of 59400 and 59415?

Greatest common factor (GCF) of 59400 and 59415 is 15.

GCF(59400,59415) = 15

We will now calculate the prime factors of 59400 and 59415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59400 and 59415.

How to find the GCF of 59400 and 59415?

We will first find the prime factorization of 59400 and 59415. After we will calculate the factors of 59400 and 59415 and find the biggest common factor number .

Step-1: Prime Factorization of 59400

Prime factors of 59400 are 2, 3, 5, 11. Prime factorization of 59400 in exponential form is:

59400 = 2³ × 3³ × 5² × 11¹

Step-2: Prime Factorization of 59415

Prime factors of 59415 are 3, 5, 17, 233. Prime factorization of 59415 in exponential form is:

59415 = 3¹ × 5¹ × 17¹ × 233¹

Step-3: Factors of 59400

List of positive integer factors of 59400 that divides 59400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 25, 27, 30, 33, 36, 40, 44, 45, 50, 54, 55, 60, 66, 72, 75, 88, 90, 99, 100, 108, 110, 120, 132, 135, 150, 165, 180, 198, 200, 216, 220, 225, 264, 270, 275, 297, 300, 330, 360, 396, 440, 450, 495, 540, 550, 594, 600, 660, 675, 792, 825, 900, 990, 1080, 1100, 1188, 1320, 1350, 1485, 1650, 1800, 1980, 2200, 2376, 2475, 2700, 2970, 3300, 3960, 4950, 5400, 5940, 6600, 7425, 9900, 11880, 14850, 19800, 29700

Step-4: Factors of 59415

List of positive integer factors of 59415 that divides 59400 without a remainder.

1, 3, 5, 15, 17, 51, 85, 233, 255, 699, 1165, 3495, 3961, 11883, 19805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59400 and 59415. The biggest common factor number is the GCF number.
So the greatest common factor 59400 and 59415 is 15.

Also check out the Least Common Multiple of 59400 and 59415