What is the Greatest Common Factor of 99324 and 99336?

Greatest common factor (GCF) of 99324 and 99336 is 12.

GCF(99324,99336) = 12

We will now calculate the prime factors of 99324 and 99336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99324 and 99336.

How to find the GCF of 99324 and 99336?

We will first find the prime factorization of 99324 and 99336. After we will calculate the factors of 99324 and 99336 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 99336

Prime factors of 99336 are 2, 3, 4139. Prime factorization of 99336 in exponential form is:

99336 = 2³ × 3¹ × 4139¹

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 99336

List of positive integer factors of 99336 that divides 99324 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4139, 8278, 12417, 16556, 24834, 33112, 49668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99324 and 99336. The biggest common factor number is the GCF number.
So the greatest common factor 99324 and 99336 is 12.

Also check out the Least Common Multiple of 99324 and 99336