What is the Greatest Common Factor of 93849 and 93868?

Greatest common factor (GCF) of 93849 and 93868 is 1.

GCF(93849,93868) = 1

We will now calculate the prime factors of 93849 and 93868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93849 and 93868.

How to find the GCF of 93849 and 93868?

We will first find the prime factorization of 93849 and 93868. After we will calculate the factors of 93849 and 93868 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 93868

Prime factors of 93868 are 2, 31, 757. Prime factorization of 93868 in exponential form is:

93868 = 2² × 31¹ × 757¹

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 93868

List of positive integer factors of 93868 that divides 93849 without a remainder.

1, 2, 4, 31, 62, 124, 757, 1514, 3028, 23467, 46934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93849 and 93868. The biggest common factor number is the GCF number.
So the greatest common factor 93849 and 93868 is 1.

Also check out the Least Common Multiple of 93849 and 93868