What is the Greatest Common Factor of 91341 and 91358?

Greatest common factor (GCF) of 91341 and 91358 is 17.

GCF(91341,91358) = 17

We will now calculate the prime factors of 91341 and 91358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91341 and 91358.

How to find the GCF of 91341 and 91358?

We will first find the prime factorization of 91341 and 91358. After we will calculate the factors of 91341 and 91358 and find the biggest common factor number .

Step-1: Prime Factorization of 91341

Prime factors of 91341 are 3, 17, 199. Prime factorization of 91341 in exponential form is:

91341 = 3³ × 17¹ × 199¹

Step-2: Prime Factorization of 91358

Prime factors of 91358 are 2, 17, 2687. Prime factorization of 91358 in exponential form is:

91358 = 2¹ × 17¹ × 2687¹

Step-3: Factors of 91341

List of positive integer factors of 91341 that divides 91341 without a remainder.

1, 3, 9, 17, 27, 51, 153, 199, 459, 597, 1791, 3383, 5373, 10149, 30447

Step-4: Factors of 91358

List of positive integer factors of 91358 that divides 91341 without a remainder.

1, 2, 17, 34, 2687, 5374, 45679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91341 and 91358. The biggest common factor number is the GCF number.
So the greatest common factor 91341 and 91358 is 17.

Also check out the Least Common Multiple of 91341 and 91358