What is the Greatest Common Factor of 99312 and 99322?

Greatest common factor (GCF) of 99312 and 99322 is 2.

GCF(99312,99322) = 2

We will now calculate the prime factors of 99312 and 99322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99312 and 99322.

How to find the GCF of 99312 and 99322?

We will first find the prime factorization of 99312 and 99322. After we will calculate the factors of 99312 and 99322 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 99322

Prime factors of 99322 are 2, 53, 937. Prime factorization of 99322 in exponential form is:

99322 = 2¹ × 53¹ × 937¹

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 99322

List of positive integer factors of 99322 that divides 99312 without a remainder.

1, 2, 53, 106, 937, 1874, 49661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99312 and 99322. The biggest common factor number is the GCF number.
So the greatest common factor 99312 and 99322 is 2.

Also check out the Least Common Multiple of 99312 and 99322