What is the Greatest Common Factor of 91005 and 91017?

Greatest common factor (GCF) of 91005 and 91017 is 3.

GCF(91005,91017) = 3

We will now calculate the prime factors of 91005 and 91017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91005 and 91017.

How to find the GCF of 91005 and 91017?

We will first find the prime factorization of 91005 and 91017. After we will calculate the factors of 91005 and 91017 and find the biggest common factor number .

Step-1: Prime Factorization of 91005

Prime factors of 91005 are 3, 5, 6067. Prime factorization of 91005 in exponential form is:

91005 = 3¹ × 5¹ × 6067¹

Step-2: Prime Factorization of 91017

Prime factors of 91017 are 3, 3371. Prime factorization of 91017 in exponential form is:

91017 = 3³ × 3371¹

Step-3: Factors of 91005

List of positive integer factors of 91005 that divides 91005 without a remainder.

1, 3, 5, 15, 6067, 18201, 30335

Step-4: Factors of 91017

List of positive integer factors of 91017 that divides 91005 without a remainder.

1, 3, 9, 27, 3371, 10113, 30339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91005 and 91017. The biggest common factor number is the GCF number.
So the greatest common factor 91005 and 91017 is 3.

Also check out the Least Common Multiple of 91005 and 91017