What is the Greatest Common Factor of 68400 and 68408?

Greatest common factor (GCF) of 68400 and 68408 is 8.

GCF(68400,68408) = 8

We will now calculate the prime factors of 68400 and 68408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68400 and 68408.

How to find the GCF of 68400 and 68408?

We will first find the prime factorization of 68400 and 68408. After we will calculate the factors of 68400 and 68408 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68408

Prime factors of 68408 are 2, 17, 503. Prime factorization of 68408 in exponential form is:

68408 = 2³ × 17¹ × 503¹

Step-3: Factors of 68400

List of positive integer factors of 68400 that divides 68400 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

Step-4: Factors of 68408

List of positive integer factors of 68408 that divides 68400 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 503, 1006, 2012, 4024, 8551, 17102, 34204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68400 and 68408. The biggest common factor number is the GCF number.
So the greatest common factor 68400 and 68408 is 8.

Also check out the Least Common Multiple of 68400 and 68408