What is the Greatest Common Factor of 99312 and 99330?

Greatest common factor (GCF) of 99312 and 99330 is 6.

GCF(99312,99330) = 6

We will now calculate the prime factors of 99312 and 99330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99312 and 99330.

How to find the GCF of 99312 and 99330?

We will first find the prime factorization of 99312 and 99330. After we will calculate the factors of 99312 and 99330 and find the biggest common factor number .

Step-1: Prime Factorization of 99312

Prime factors of 99312 are 2, 3, 2069. Prime factorization of 99312 in exponential form is:

99312 = 2⁴ × 3¹ × 2069¹

Step-2: 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-3: Factors of 99312

List of positive integer factors of 99312 that divides 99312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2069, 4138, 6207, 8276, 12414, 16552, 24828, 33104, 49656

Step-4: Factors of 99330

List of positive integer factors of 99330 that divides 99312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99312 and 99330. The biggest common factor number is the GCF number.
So the greatest common factor 99312 and 99330 is 6.

Also check out the Least Common Multiple of 99312 and 99330