What is the Greatest Common Factor of 91065 and 91078?

Greatest common factor (GCF) of 91065 and 91078 is 13.

GCF(91065,91078) = 13

We will now calculate the prime factors of 91065 and 91078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91065 and 91078.

How to find the GCF of 91065 and 91078?

We will first find the prime factorization of 91065 and 91078. After we will calculate the factors of 91065 and 91078 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 91078

Prime factors of 91078 are 2, 13, 31, 113. Prime factorization of 91078 in exponential form is:

91078 = 2¹ × 13¹ × 31¹ × 113¹

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 91078

List of positive integer factors of 91078 that divides 91065 without a remainder.

1, 2, 13, 26, 31, 62, 113, 226, 403, 806, 1469, 2938, 3503, 7006, 45539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91065 and 91078. The biggest common factor number is the GCF number.
So the greatest common factor 91065 and 91078 is 13.

Also check out the Least Common Multiple of 91065 and 91078