What is the Greatest Common Factor of 99344 and 99360?

Greatest common factor (GCF) of 99344 and 99360 is 16.

GCF(99344,99360) = 16

We will now calculate the prime factors of 99344 and 99360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99344 and 99360.

How to find the GCF of 99344 and 99360?

We will first find the prime factorization of 99344 and 99360. After we will calculate the factors of 99344 and 99360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99360

Prime factors of 99360 are 2, 3, 5, 23. Prime factorization of 99360 in exponential form is:

99360 = 2⁵ × 3³ × 5¹ × 23¹

Step-3: Factors of 99344

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

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

Step-4: Factors of 99360

List of positive integer factors of 99360 that divides 99344 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 27, 30, 32, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 96, 108, 115, 120, 135, 138, 144, 160, 180, 184, 207, 216, 230, 240, 270, 276, 288, 345, 360, 368, 414, 432, 460, 480, 540, 552, 621, 690, 720, 736, 828, 864, 920, 1035, 1080, 1104, 1242, 1380, 1440, 1656, 1840, 2070, 2160, 2208, 2484, 2760, 3105, 3312, 3680, 4140, 4320, 4968, 5520, 6210, 6624, 8280, 9936, 11040, 12420, 16560, 19872, 24840, 33120, 49680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99344 and 99360. The biggest common factor number is the GCF number.
So the greatest common factor 99344 and 99360 is 16.

Also check out the Least Common Multiple of 99344 and 99360