What is the Greatest Common Factor of 59382 and 59400?

Greatest common factor (GCF) of 59382 and 59400 is 18.

GCF(59382,59400) = 18

We will now calculate the prime factors of 59382 and 59400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59382 and 59400.

How to find the GCF of 59382 and 59400?

We will first find the prime factorization of 59382 and 59400. After we will calculate the factors of 59382 and 59400 and find the biggest common factor number .

Step-1: Prime Factorization of 59382

Prime factors of 59382 are 2, 3, 3299. Prime factorization of 59382 in exponential form is:

59382 = 2¹ × 3² × 3299¹

Step-2: 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-3: Factors of 59382

List of positive integer factors of 59382 that divides 59382 without a remainder.

1, 2, 3, 6, 9, 18, 3299, 6598, 9897, 19794, 29691

Step-4: Factors of 59400

List of positive integer factors of 59400 that divides 59382 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59382 and 59400. The biggest common factor number is the GCF number.
So the greatest common factor 59382 and 59400 is 18.

Also check out the Least Common Multiple of 59382 and 59400