What is the Greatest Common Factor of 99312 and 99324?

Greatest common factor (GCF) of 99312 and 99324 is 12.

GCF(99312,99324) = 12

We will now calculate the prime factors of 99312 and 99324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99312 and 99324.

How to find the GCF of 99312 and 99324?

We will first find the prime factorization of 99312 and 99324. After we will calculate the factors of 99312 and 99324 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 99324

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

99324 = 2² × 3² × 31¹ × 89¹

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 99324

List of positive integer factors of 99324 that divides 99312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99312 and 99324. The biggest common factor number is the GCF number.
So the greatest common factor 99312 and 99324 is 12.

Also check out the Least Common Multiple of 99312 and 99324