What is the Greatest Common Factor of 73800 and 73808?

Greatest common factor (GCF) of 73800 and 73808 is 8.

GCF(73800,73808) = 8

We will now calculate the prime factors of 73800 and 73808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73800 and 73808.

How to find the GCF of 73800 and 73808?

We will first find the prime factorization of 73800 and 73808. After we will calculate the factors of 73800 and 73808 and find the biggest common factor number .

Step-1: Prime Factorization of 73800

Prime factors of 73800 are 2, 3, 5, 41. Prime factorization of 73800 in exponential form is:

73800 = 2³ × 3² × 5² × 41¹

Step-2: Prime Factorization of 73808

Prime factors of 73808 are 2, 7, 659. Prime factorization of 73808 in exponential form is:

73808 = 2⁴ × 7¹ × 659¹

Step-3: Factors of 73800

List of positive integer factors of 73800 that divides 73800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 41, 45, 50, 60, 72, 75, 82, 90, 100, 120, 123, 150, 164, 180, 200, 205, 225, 246, 300, 328, 360, 369, 410, 450, 492, 600, 615, 738, 820, 900, 984, 1025, 1230, 1476, 1640, 1800, 1845, 2050, 2460, 2952, 3075, 3690, 4100, 4920, 6150, 7380, 8200, 9225, 12300, 14760, 18450, 24600, 36900

Step-4: Factors of 73808

List of positive integer factors of 73808 that divides 73800 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 659, 1318, 2636, 4613, 5272, 9226, 10544, 18452, 36904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73800 and 73808. The biggest common factor number is the GCF number.
So the greatest common factor 73800 and 73808 is 8.

Also check out the Least Common Multiple of 73800 and 73808