What is the Greatest Common Factor of 91341 and 91353?

Greatest common factor (GCF) of 91341 and 91353 is 3.

GCF(91341,91353) = 3

We will now calculate the prime factors of 91341 and 91353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91341 and 91353.

How to find the GCF of 91341 and 91353?

We will first find the prime factorization of 91341 and 91353. After we will calculate the factors of 91341 and 91353 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 91353

Prime factors of 91353 are 3, 37, 823. Prime factorization of 91353 in exponential form is:

91353 = 3¹ × 37¹ × 823¹

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 91353

List of positive integer factors of 91353 that divides 91341 without a remainder.

1, 3, 37, 111, 823, 2469, 30451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91341 and 91353. The biggest common factor number is the GCF number.
So the greatest common factor 91341 and 91353 is 3.

Also check out the Least Common Multiple of 91341 and 91353