What is the Greatest Common Factor of 99330 and 99350?

Greatest common factor (GCF) of 99330 and 99350 is 10.

GCF(99330,99350) = 10

We will now calculate the prime factors of 99330 and 99350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99330 and 99350.

How to find the GCF of 99330 and 99350?

We will first find the prime factorization of 99330 and 99350. After we will calculate the factors of 99330 and 99350 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 99350

Prime factors of 99350 are 2, 5, 1987. Prime factorization of 99350 in exponential form is:

99350 = 2¹ × 5² × 1987¹

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 99350

List of positive integer factors of 99350 that divides 99330 without a remainder.

1, 2, 5, 10, 25, 50, 1987, 3974, 9935, 19870, 49675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99330 and 99350. The biggest common factor number is the GCF number.
So the greatest common factor 99330 and 99350 is 10.

Also check out the Least Common Multiple of 99330 and 99350