What is the Greatest Common Factor of 99328 and 99344?

Greatest common factor (GCF) of 99328 and 99344 is 16.

GCF(99328,99344) = 16

We will now calculate the prime factors of 99328 and 99344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99328 and 99344.

How to find the GCF of 99328 and 99344?

We will first find the prime factorization of 99328 and 99344. After we will calculate the factors of 99328 and 99344 and find the biggest common factor number .

Step-1: Prime Factorization of 99328

Prime factors of 99328 are 2, 97. Prime factorization of 99328 in exponential form is:

99328 = 2¹⁰ × 97¹

Step-2: Prime Factorization of 99344

Prime factors of 99344 are 2, 7, 887. Prime factorization of 99344 in exponential form is:

99344 = 2⁴ × 7¹ × 887¹

Step-3: Factors of 99328

List of positive integer factors of 99328 that divides 99328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 256, 388, 512, 776, 1024, 1552, 3104, 6208, 12416, 24832, 49664

Step-4: Factors of 99344

List of positive integer factors of 99344 that divides 99328 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 887, 1774, 3548, 6209, 7096, 12418, 14192, 24836, 49672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99328 and 99344. The biggest common factor number is the GCF number.
So the greatest common factor 99328 and 99344 is 16.

Also check out the Least Common Multiple of 99328 and 99344