What is the Greatest Common Factor of 93849 and 93864?

Greatest common factor (GCF) of 93849 and 93864 is 3.

GCF(93849,93864) = 3

We will now calculate the prime factors of 93849 and 93864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93849 and 93864.

How to find the GCF of 93849 and 93864?

We will first find the prime factorization of 93849 and 93864. After we will calculate the factors of 93849 and 93864 and find the biggest common factor number .

Step-1: Prime Factorization of 93849

Prime factors of 93849 are 3, 7, 41, 109. Prime factorization of 93849 in exponential form is:

93849 = 3¹ × 7¹ × 41¹ × 109¹

Step-2: 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-3: Factors of 93849

List of positive integer factors of 93849 that divides 93849 without a remainder.

1, 3, 7, 21, 41, 109, 123, 287, 327, 763, 861, 2289, 4469, 13407, 31283

Step-4: Factors of 93864

List of positive integer factors of 93864 that divides 93849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93849 and 93864. The biggest common factor number is the GCF number.
So the greatest common factor 93849 and 93864 is 3.

Also check out the Least Common Multiple of 93849 and 93864