What is the Greatest Common Factor of 99324 and 99333?

Greatest common factor (GCF) of 99324 and 99333 is 9.

GCF(99324,99333) = 9

We will now calculate the prime factors of 99324 and 99333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99324 and 99333.

How to find the GCF of 99324 and 99333?

We will first find the prime factorization of 99324 and 99333. After we will calculate the factors of 99324 and 99333 and find the biggest common factor number .

Step-1: Prime Factorization of 99324

Prime factors of 99324 are 2, 3, 31, 89. Prime factorization of 99324 in exponential form is:

99324 = 2² × 3² × 31¹ × 89¹

Step-2: Prime Factorization of 99333

Prime factors of 99333 are 3, 13, 283. Prime factorization of 99333 in exponential form is:

99333 = 3³ × 13¹ × 283¹

Step-3: Factors of 99324

List of positive integer factors of 99324 that divides 99324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 89, 93, 124, 178, 186, 267, 279, 356, 372, 534, 558, 801, 1068, 1116, 1602, 2759, 3204, 5518, 8277, 11036, 16554, 24831, 33108, 49662

Step-4: Factors of 99333

List of positive integer factors of 99333 that divides 99324 without a remainder.

1, 3, 9, 13, 27, 39, 117, 283, 351, 849, 2547, 3679, 7641, 11037, 33111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99324 and 99333. The biggest common factor number is the GCF number.
So the greatest common factor 99324 and 99333 is 9.

Also check out the Least Common Multiple of 99324 and 99333