What is the Greatest Common Factor of 93864 and 93873?

Greatest common factor (GCF) of 93864 and 93873 is 3.

GCF(93864,93873) = 3

We will now calculate the prime factors of 93864 and 93873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93864 and 93873.

How to find the GCF of 93864 and 93873?

We will first find the prime factorization of 93864 and 93873. After we will calculate the factors of 93864 and 93873 and find the biggest common factor number .

Step-1: Prime Factorization of 93864

Prime factors of 93864 are 2, 3, 3911. Prime factorization of 93864 in exponential form is:

93864 = 2³ × 3¹ × 3911¹

Step-2: Prime Factorization of 93873

Prime factors of 93873 are 3, 13, 29, 83. Prime factorization of 93873 in exponential form is:

93873 = 3¹ × 13¹ × 29¹ × 83¹

Step-3: Factors of 93864

List of positive integer factors of 93864 that divides 93864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3911, 7822, 11733, 15644, 23466, 31288, 46932

Step-4: Factors of 93873

List of positive integer factors of 93873 that divides 93864 without a remainder.

1, 3, 13, 29, 39, 83, 87, 249, 377, 1079, 1131, 2407, 3237, 7221, 31291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93864 and 93873. The biggest common factor number is the GCF number.
So the greatest common factor 93864 and 93873 is 3.

Also check out the Least Common Multiple of 93864 and 93873