What is the Greatest Common Factor of 91365 and 91375?

Greatest common factor (GCF) of 91365 and 91375 is 5.

GCF(91365,91375) = 5

We will now calculate the prime factors of 91365 and 91375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91365 and 91375.

How to find the GCF of 91365 and 91375?

We will first find the prime factorization of 91365 and 91375. After we will calculate the factors of 91365 and 91375 and find the biggest common factor number .

Step-1: Prime Factorization of 91365

Prime factors of 91365 are 3, 5, 6091. Prime factorization of 91365 in exponential form is:

91365 = 3¹ × 5¹ × 6091¹

Step-2: Prime Factorization of 91375

Prime factors of 91375 are 5, 17, 43. Prime factorization of 91375 in exponential form is:

91375 = 5³ × 17¹ × 43¹

Step-3: Factors of 91365

List of positive integer factors of 91365 that divides 91365 without a remainder.

1, 3, 5, 15, 6091, 18273, 30455

Step-4: Factors of 91375

List of positive integer factors of 91375 that divides 91365 without a remainder.

1, 5, 17, 25, 43, 85, 125, 215, 425, 731, 1075, 2125, 3655, 5375, 18275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91365 and 91375. The biggest common factor number is the GCF number.
So the greatest common factor 91365 and 91375 is 5.

Also check out the Least Common Multiple of 91365 and 91375