What is the Greatest Common Factor of 99312 and 99318?

Greatest common factor (GCF) of 99312 and 99318 is 6.

GCF(99312,99318) = 6

We will now calculate the prime factors of 99312 and 99318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99312 and 99318.

How to find the GCF of 99312 and 99318?

We will first find the prime factorization of 99312 and 99318. After we will calculate the factors of 99312 and 99318 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 99318

Prime factors of 99318 are 2, 3, 16553. Prime factorization of 99318 in exponential form is:

99318 = 2¹ × 3¹ × 16553¹

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 99318

List of positive integer factors of 99318 that divides 99312 without a remainder.

1, 2, 3, 6, 16553, 33106, 49659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99312 and 99318. The biggest common factor number is the GCF number.
So the greatest common factor 99312 and 99318 is 6.

Also check out the Least Common Multiple of 99312 and 99318