What is the Greatest Common Factor of 93845 and 93849?

Greatest common factor (GCF) of 93845 and 93849 is 1.

GCF(93845,93849) = 1

We will now calculate the prime factors of 93845 and 93849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93845 and 93849.

How to find the GCF of 93845 and 93849?

We will first find the prime factorization of 93845 and 93849. After we will calculate the factors of 93845 and 93849 and find the biggest common factor number .

Step-1: Prime Factorization of 93845

Prime factors of 93845 are 5, 137. Prime factorization of 93845 in exponential form is:

93845 = 5¹ × 137²

Step-2: 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-3: Factors of 93845

List of positive integer factors of 93845 that divides 93845 without a remainder.

1, 5, 137, 685, 18769

Step-4: Factors of 93849

List of positive integer factors of 93849 that divides 93845 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93845 and 93849. The biggest common factor number is the GCF number.
So the greatest common factor 93845 and 93849 is 1.

Also check out the Least Common Multiple of 93845 and 93849