What is the Greatest Common Factor of 91017 and 91029?

Greatest common factor (GCF) of 91017 and 91029 is 3.

GCF(91017,91029) = 3

We will now calculate the prime factors of 91017 and 91029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91017 and 91029.

How to find the GCF of 91017 and 91029?

We will first find the prime factorization of 91017 and 91029. After we will calculate the factors of 91017 and 91029 and find the biggest common factor number .

Step-1: Prime Factorization of 91017

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

91017 = 3³ × 3371¹

Step-2: Prime Factorization of 91029

Prime factors of 91029 are 3, 19, 1597. Prime factorization of 91029 in exponential form is:

91029 = 3¹ × 19¹ × 1597¹

Step-3: Factors of 91017

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

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

Step-4: Factors of 91029

List of positive integer factors of 91029 that divides 91017 without a remainder.

1, 3, 19, 57, 1597, 4791, 30343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91017 and 91029. The biggest common factor number is the GCF number.
So the greatest common factor 91017 and 91029 is 3.

Also check out the Least Common Multiple of 91017 and 91029