What is the Greatest Common Factor of 93789 and 93793?

Greatest common factor (GCF) of 93789 and 93793 is 1.

GCF(93789,93793) = 1

We will now calculate the prime factors of 93789 and 93793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93789 and 93793.

How to find the GCF of 93789 and 93793?

We will first find the prime factorization of 93789 and 93793. After we will calculate the factors of 93789 and 93793 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 93793

Prime factors of 93793 are 7, 13399. Prime factorization of 93793 in exponential form is:

93793 = 7¹ × 13399¹

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 93793

List of positive integer factors of 93793 that divides 93789 without a remainder.

1, 7, 13399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93789 and 93793. The biggest common factor number is the GCF number.
So the greatest common factor 93789 and 93793 is 1.

Also check out the Least Common Multiple of 93789 and 93793