What is the Greatest Common Factor of 73899 and 73916?

Greatest common factor (GCF) of 73899 and 73916 is 17.

GCF(73899,73916) = 17

We will now calculate the prime factors of 73899 and 73916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73899 and 73916.

How to find the GCF of 73899 and 73916?

We will first find the prime factorization of 73899 and 73916. After we will calculate the factors of 73899 and 73916 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 73916

Prime factors of 73916 are 2, 17, 1087. Prime factorization of 73916 in exponential form is:

73916 = 2² × 17¹ × 1087¹

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 73916

List of positive integer factors of 73916 that divides 73899 without a remainder.

1, 2, 4, 17, 34, 68, 1087, 2174, 4348, 18479, 36958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73899 and 73916. The biggest common factor number is the GCF number.
So the greatest common factor 73899 and 73916 is 17.

Also check out the Least Common Multiple of 73899 and 73916