What is the Greatest Common Factor of 68395 and 68400?

Greatest common factor (GCF) of 68395 and 68400 is 5.

GCF(68395,68400) = 5

We will now calculate the prime factors of 68395 and 68400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68395 and 68400.

How to find the GCF of 68395 and 68400?

We will first find the prime factorization of 68395 and 68400. After we will calculate the factors of 68395 and 68400 and find the biggest common factor number .

Step-1: Prime Factorization of 68395

Prime factors of 68395 are 5, 13679. Prime factorization of 68395 in exponential form is:

68395 = 5¹ × 13679¹

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 68395

List of positive integer factors of 68395 that divides 68395 without a remainder.

1, 5, 13679

Step-4: Factors of 68400

List of positive integer factors of 68400 that divides 68395 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 68395 and 68400. The biggest common factor number is the GCF number.
So the greatest common factor 68395 and 68400 is 5.

Also check out the Least Common Multiple of 68395 and 68400