What is the Greatest Common Factor of 91047 and 91065?

Greatest common factor (GCF) of 91047 and 91065 is 3.

GCF(91047,91065) = 3

We will now calculate the prime factors of 91047 and 91065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91047 and 91065.

How to find the GCF of 91047 and 91065?

We will first find the prime factorization of 91047 and 91065. After we will calculate the factors of 91047 and 91065 and find the biggest common factor number .

Step-1: Prime Factorization of 91047

Prime factors of 91047 are 3, 11, 31, 89. Prime factorization of 91047 in exponential form is:

91047 = 3¹ × 11¹ × 31¹ × 89¹

Step-2: 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-3: Factors of 91047

List of positive integer factors of 91047 that divides 91047 without a remainder.

1, 3, 11, 31, 33, 89, 93, 267, 341, 979, 1023, 2759, 2937, 8277, 30349

Step-4: Factors of 91065

List of positive integer factors of 91065 that divides 91047 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91047 and 91065. The biggest common factor number is the GCF number.
So the greatest common factor 91047 and 91065 is 3.

Also check out the Least Common Multiple of 91047 and 91065