What is the Greatest Common Factor of 73899 and 73911?

Greatest common factor (GCF) of 73899 and 73911 is 3.

GCF(73899,73911) = 3

We will now calculate the prime factors of 73899 and 73911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73899 and 73911.

How to find the GCF of 73899 and 73911?

We will first find the prime factorization of 73899 and 73911. After we will calculate the factors of 73899 and 73911 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 73911

Prime factors of 73911 are 3, 71, 347. Prime factorization of 73911 in exponential form is:

73911 = 3¹ × 71¹ × 347¹

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 73911

List of positive integer factors of 73911 that divides 73899 without a remainder.

1, 3, 71, 213, 347, 1041, 24637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73899 and 73911. The biggest common factor number is the GCF number.
So the greatest common factor 73899 and 73911 is 3.

Also check out the Least Common Multiple of 73899 and 73911