What is the Greatest Common Factor of 91389 and 91395?

Greatest common factor (GCF) of 91389 and 91395 is 3.

GCF(91389,91395) = 3

We will now calculate the prime factors of 91389 and 91395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91389 and 91395.

How to find the GCF of 91389 and 91395?

We will first find the prime factorization of 91389 and 91395. After we will calculate the factors of 91389 and 91395 and find the biggest common factor number .

Step-1: Prime Factorization of 91389

Prime factors of 91389 are 3, 41, 743. Prime factorization of 91389 in exponential form is:

91389 = 3¹ × 41¹ × 743¹

Step-2: Prime Factorization of 91395

Prime factors of 91395 are 3, 5, 677. Prime factorization of 91395 in exponential form is:

91395 = 3³ × 5¹ × 677¹

Step-3: Factors of 91389

List of positive integer factors of 91389 that divides 91389 without a remainder.

1, 3, 41, 123, 743, 2229, 30463

Step-4: Factors of 91395

List of positive integer factors of 91395 that divides 91389 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 677, 2031, 3385, 6093, 10155, 18279, 30465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91389 and 91395. The biggest common factor number is the GCF number.
So the greatest common factor 91389 and 91395 is 3.

Also check out the Least Common Multiple of 91389 and 91395