What is the Greatest Common Factor of 91065 and 91071?

Greatest common factor (GCF) of 91065 and 91071 is 3.

GCF(91065,91071) = 3

We will now calculate the prime factors of 91065 and 91071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91065 and 91071.

How to find the GCF of 91065 and 91071?

We will first find the prime factorization of 91065 and 91071. After we will calculate the factors of 91065 and 91071 and find the biggest common factor number .

Step-1: Prime Factorization of 91065

Prime factors of 91065 are 3, 5, 13, 467. Prime factorization of 91065 in exponential form is:

91065 = 3¹ × 5¹ × 13¹ × 467¹

Step-2: Prime Factorization of 91071

Prime factors of 91071 are 3, 3373. Prime factorization of 91071 in exponential form is:

91071 = 3³ × 3373¹

Step-3: Factors of 91065

List of positive integer factors of 91065 that divides 91065 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 467, 1401, 2335, 6071, 7005, 18213, 30355

Step-4: Factors of 91071

List of positive integer factors of 91071 that divides 91065 without a remainder.

1, 3, 9, 27, 3373, 10119, 30357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91065 and 91071. The biggest common factor number is the GCF number.
So the greatest common factor 91065 and 91071 is 3.

Also check out the Least Common Multiple of 91065 and 91071