What is the Greatest Common Factor of 68388 and 68400?

Greatest common factor (GCF) of 68388 and 68400 is 12.

GCF(68388,68400) = 12

We will now calculate the prime factors of 68388 and 68400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68388 and 68400.

How to find the GCF of 68388 and 68400?

We will first find the prime factorization of 68388 and 68400. After we will calculate the factors of 68388 and 68400 and find the biggest common factor number .

Step-1: Prime Factorization of 68388

Prime factors of 68388 are 2, 3, 41, 139. Prime factorization of 68388 in exponential form is:

68388 = 2² × 3¹ × 41¹ × 139¹

Step-2: Prime Factorization of 68400

Prime factors of 68400 are 2, 3, 5, 19. Prime factorization of 68400 in exponential form is:

68400 = 2⁴ × 3² × 5² × 19¹

Step-3: Factors of 68388

List of positive integer factors of 68388 that divides 68388 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 139, 164, 246, 278, 417, 492, 556, 834, 1668, 5699, 11398, 17097, 22796, 34194

Step-4: Factors of 68400

List of positive integer factors of 68400 that divides 68388 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 25, 30, 36, 38, 40, 45, 48, 50, 57, 60, 72, 75, 76, 80, 90, 95, 100, 114, 120, 144, 150, 152, 171, 180, 190, 200, 225, 228, 240, 285, 300, 304, 342, 360, 380, 400, 450, 456, 475, 570, 600, 684, 720, 760, 855, 900, 912, 950, 1140, 1200, 1368, 1425, 1520, 1710, 1800, 1900, 2280, 2736, 2850, 3420, 3600, 3800, 4275, 4560, 5700, 6840, 7600, 8550, 11400, 13680, 17100, 22800, 34200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68388 and 68400. The biggest common factor number is the GCF number.
So the greatest common factor 68388 and 68400 is 12.

Also check out the Least Common Multiple of 68388 and 68400