What is the Greatest Common Factor of 59388 and 59400?

Greatest common factor (GCF) of 59388 and 59400 is 12.

GCF(59388,59400) = 12

We will now calculate the prime factors of 59388 and 59400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59388 and 59400.

How to find the GCF of 59388 and 59400?

We will first find the prime factorization of 59388 and 59400. After we will calculate the factors of 59388 and 59400 and find the biggest common factor number .

Step-1: Prime Factorization of 59388

Prime factors of 59388 are 2, 3, 7, 101. Prime factorization of 59388 in exponential form is:

59388 = 2² × 3¹ × 7² × 101¹

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 59388

List of positive integer factors of 59388 that divides 59388 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 101, 147, 196, 202, 294, 303, 404, 588, 606, 707, 1212, 1414, 2121, 2828, 4242, 4949, 8484, 9898, 14847, 19796, 29694

Step-4: Factors of 59400

List of positive integer factors of 59400 that divides 59388 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 59388 and 59400. The biggest common factor number is the GCF number.
So the greatest common factor 59388 and 59400 is 12.

Also check out the Least Common Multiple of 59388 and 59400