What is the Greatest Common Factor of 91365 and 91377?

Greatest common factor (GCF) of 91365 and 91377 is 3.

GCF(91365,91377) = 3

We will now calculate the prime factors of 91365 and 91377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91365 and 91377.

How to find the GCF of 91365 and 91377?

We will first find the prime factorization of 91365 and 91377. After we will calculate the factors of 91365 and 91377 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 91377

Prime factors of 91377 are 3, 11, 13, 71. Prime factorization of 91377 in exponential form is:

91377 = 3² × 11¹ × 13¹ × 71¹

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 91377

List of positive integer factors of 91377 that divides 91365 without a remainder.

1, 3, 9, 11, 13, 33, 39, 71, 99, 117, 143, 213, 429, 639, 781, 923, 1287, 2343, 2769, 7029, 8307, 10153, 30459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91365 and 91377. The biggest common factor number is the GCF number.
So the greatest common factor 91365 and 91377 is 3.

Also check out the Least Common Multiple of 91365 and 91377