What is the Greatest Common Factor of 93789 and 93801?

Greatest common factor (GCF) of 93789 and 93801 is 3.

GCF(93789,93801) = 3

We will now calculate the prime factors of 93789 and 93801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93789 and 93801.

How to find the GCF of 93789 and 93801?

We will first find the prime factorization of 93789 and 93801. After we will calculate the factors of 93789 and 93801 and find the biggest common factor number .

Step-1: Prime Factorization of 93789

Prime factors of 93789 are 3, 17, 613. Prime factorization of 93789 in exponential form is:

93789 = 3² × 17¹ × 613¹

Step-2: Prime Factorization of 93801

Prime factors of 93801 are 3, 31267. Prime factorization of 93801 in exponential form is:

93801 = 3¹ × 31267¹

Step-3: Factors of 93789

List of positive integer factors of 93789 that divides 93789 without a remainder.

1, 3, 9, 17, 51, 153, 613, 1839, 5517, 10421, 31263

Step-4: Factors of 93801

List of positive integer factors of 93801 that divides 93789 without a remainder.

1, 3, 31267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93789 and 93801. The biggest common factor number is the GCF number.
So the greatest common factor 93789 and 93801 is 3.

Also check out the Least Common Multiple of 93789 and 93801