What is the Greatest Common Factor of 59916 and 59923?

Greatest common factor (GCF) of 59916 and 59923 is 1.

GCF(59916,59923) = 1

We will now calculate the prime factors of 59916 and 59923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59916 and 59923.

How to find the GCF of 59916 and 59923?

We will first find the prime factorization of 59916 and 59923. After we will calculate the factors of 59916 and 59923 and find the biggest common factor number .

Step-1: Prime Factorization of 59916

Prime factors of 59916 are 2, 3, 4993. Prime factorization of 59916 in exponential form is:

59916 = 2² × 3¹ × 4993¹

Step-2: Prime Factorization of 59923

Prime factors of 59923 are 31, 1933. Prime factorization of 59923 in exponential form is:

59923 = 31¹ × 1933¹

Step-3: Factors of 59916

List of positive integer factors of 59916 that divides 59916 without a remainder.

1, 2, 3, 4, 6, 12, 4993, 9986, 14979, 19972, 29958

Step-4: Factors of 59923

List of positive integer factors of 59923 that divides 59916 without a remainder.

1, 31, 1933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59916 and 59923. The biggest common factor number is the GCF number.
So the greatest common factor 59916 and 59923 is 1.

Also check out the Least Common Multiple of 59916 and 59923