What is the Greatest Common Factor of 73899 and 73909?

Greatest common factor (GCF) of 73899 and 73909 is 1.

GCF(73899,73909) = 1

We will now calculate the prime factors of 73899 and 73909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73899 and 73909.

How to find the GCF of 73899 and 73909?

We will first find the prime factorization of 73899 and 73909. After we will calculate the factors of 73899 and 73909 and find the biggest common factor number .

Step-1: Prime Factorization of 73899

Prime factors of 73899 are 3, 7, 17, 23. Prime factorization of 73899 in exponential form is:

73899 = 3³ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 73909

Prime factors of 73909 are 11, 6719. Prime factorization of 73909 in exponential form is:

73909 = 11¹ × 6719¹

Step-3: Factors of 73899

List of positive integer factors of 73899 that divides 73899 without a remainder.

1, 3, 7, 9, 17, 21, 23, 27, 51, 63, 69, 119, 153, 161, 189, 207, 357, 391, 459, 483, 621, 1071, 1173, 1449, 2737, 3213, 3519, 4347, 8211, 10557, 24633

Step-4: Factors of 73909

List of positive integer factors of 73909 that divides 73899 without a remainder.

1, 11, 6719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73899 and 73909. The biggest common factor number is the GCF number.
So the greatest common factor 73899 and 73909 is 1.

Also check out the Least Common Multiple of 73899 and 73909