What is the Greatest Common Factor of 75393 and 75399?

Greatest common factor (GCF) of 75393 and 75399 is 3.

GCF(75393,75399) = 3

We will now calculate the prime factors of 75393 and 75399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75393 and 75399.

How to find the GCF of 75393 and 75399?

We will first find the prime factorization of 75393 and 75399. After we will calculate the factors of 75393 and 75399 and find the biggest common factor number .

Step-1: Prime Factorization of 75393

Prime factors of 75393 are 3, 8377. Prime factorization of 75393 in exponential form is:

75393 = 3² × 8377¹

Step-2: Prime Factorization of 75399

Prime factors of 75399 are 3, 41, 613. Prime factorization of 75399 in exponential form is:

75399 = 3¹ × 41¹ × 613¹

Step-3: Factors of 75393

List of positive integer factors of 75393 that divides 75393 without a remainder.

1, 3, 9, 8377, 25131

Step-4: Factors of 75399

List of positive integer factors of 75399 that divides 75393 without a remainder.

1, 3, 41, 123, 613, 1839, 25133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75393 and 75399. The biggest common factor number is the GCF number.
So the greatest common factor 75393 and 75399 is 3.

Also check out the Least Common Multiple of 75393 and 75399