What is the Greatest Common Factor of 91065 and 91074?

Greatest common factor (GCF) of 91065 and 91074 is 3.

GCF(91065,91074) = 3

We will now calculate the prime factors of 91065 and 91074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91065 and 91074.

How to find the GCF of 91065 and 91074?

We will first find the prime factorization of 91065 and 91074. After we will calculate the factors of 91065 and 91074 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 91074

Prime factors of 91074 are 2, 3, 43, 353. Prime factorization of 91074 in exponential form is:

91074 = 2¹ × 3¹ × 43¹ × 353¹

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 91074

List of positive integer factors of 91074 that divides 91065 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 353, 706, 1059, 2118, 15179, 30358, 45537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91065 and 91074. The biggest common factor number is the GCF number.
So the greatest common factor 91065 and 91074 is 3.

Also check out the Least Common Multiple of 91065 and 91074