What is the Greatest Common Factor of 92388 and 92400?

Greatest common factor (GCF) of 92388 and 92400 is 12.

GCF(92388,92400) = 12

We will now calculate the prime factors of 92388 and 92400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92388 and 92400.

How to find the GCF of 92388 and 92400?

We will first find the prime factorization of 92388 and 92400. After we will calculate the factors of 92388 and 92400 and find the biggest common factor number .

Step-1: Prime Factorization of 92388

Prime factors of 92388 are 2, 3, 7699. Prime factorization of 92388 in exponential form is:

92388 = 2² × 3¹ × 7699¹

Step-2: Prime Factorization of 92400

Prime factors of 92400 are 2, 3, 5, 7, 11. Prime factorization of 92400 in exponential form is:

92400 = 2⁴ × 3¹ × 5² × 7¹ × 11¹

Step-3: Factors of 92388

List of positive integer factors of 92388 that divides 92388 without a remainder.

1, 2, 3, 4, 6, 12, 7699, 15398, 23097, 30796, 46194

Step-4: Factors of 92400

List of positive integer factors of 92400 that divides 92388 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 25, 28, 30, 33, 35, 40, 42, 44, 48, 50, 55, 56, 60, 66, 70, 75, 77, 80, 84, 88, 100, 105, 110, 112, 120, 132, 140, 150, 154, 165, 168, 175, 176, 200, 210, 220, 231, 240, 264, 275, 280, 300, 308, 330, 336, 350, 385, 400, 420, 440, 462, 525, 528, 550, 560, 600, 616, 660, 700, 770, 825, 840, 880, 924, 1050, 1100, 1155, 1200, 1232, 1320, 1400, 1540, 1650, 1680, 1848, 1925, 2100, 2200, 2310, 2640, 2800, 3080, 3300, 3696, 3850, 4200, 4400, 4620, 5775, 6160, 6600, 7700, 8400, 9240, 11550, 13200, 15400, 18480, 23100, 30800, 46200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92388 and 92400. The biggest common factor number is the GCF number.
So the greatest common factor 92388 and 92400 is 12.

Also check out the Least Common Multiple of 92388 and 92400