What is the Greatest Common Factor of 99330 and 99341?

Greatest common factor (GCF) of 99330 and 99341 is 11.

GCF(99330,99341) = 11

We will now calculate the prime factors of 99330 and 99341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99330 and 99341.

How to find the GCF of 99330 and 99341?

We will first find the prime factorization of 99330 and 99341. After we will calculate the factors of 99330 and 99341 and find the biggest common factor number .

Step-1: Prime Factorization of 99330

Prime factors of 99330 are 2, 3, 5, 7, 11, 43. Prime factorization of 99330 in exponential form is:

99330 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 99341

Prime factors of 99341 are 11, 821. Prime factorization of 99341 in exponential form is:

99341 = 11² × 821¹

Step-3: Factors of 99330

List of positive integer factors of 99330 that divides 99330 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 43, 55, 66, 70, 77, 86, 105, 110, 129, 154, 165, 210, 215, 231, 258, 301, 330, 385, 430, 462, 473, 602, 645, 770, 903, 946, 1155, 1290, 1419, 1505, 1806, 2310, 2365, 2838, 3010, 3311, 4515, 4730, 6622, 7095, 9030, 9933, 14190, 16555, 19866, 33110, 49665

Step-4: Factors of 99341

List of positive integer factors of 99341 that divides 99330 without a remainder.

1, 11, 121, 821, 9031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99330 and 99341. The biggest common factor number is the GCF number.
So the greatest common factor 99330 and 99341 is 11.

Also check out the Least Common Multiple of 99330 and 99341