What is the Greatest Common Factor of 99840 and 99855?

Greatest common factor (GCF) of 99840 and 99855 is 15.

GCF(99840,99855) = 15

We will now calculate the prime factors of 99840 and 99855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99840 and 99855.

How to find the GCF of 99840 and 99855?

We will first find the prime factorization of 99840 and 99855. After we will calculate the factors of 99840 and 99855 and find the biggest common factor number .

Step-1: Prime Factorization of 99840

Prime factors of 99840 are 2, 3, 5, 13. Prime factorization of 99840 in exponential form is:

99840 = 2⁹ × 3¹ × 5¹ × 13¹

Step-2: Prime Factorization of 99855

Prime factors of 99855 are 3, 5, 7, 317. Prime factorization of 99855 in exponential form is:

99855 = 3² × 5¹ × 7¹ × 317¹

Step-3: Factors of 99840

List of positive integer factors of 99840 that divides 99840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 128, 130, 156, 160, 192, 195, 208, 240, 256, 260, 312, 320, 384, 390, 416, 480, 512, 520, 624, 640, 768, 780, 832, 960, 1040, 1248, 1280, 1536, 1560, 1664, 1920, 2080, 2496, 2560, 3120, 3328, 3840, 4160, 4992, 6240, 6656, 7680, 8320, 9984, 12480, 16640, 19968, 24960, 33280, 49920

Step-4: Factors of 99855

List of positive integer factors of 99855 that divides 99840 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315, 317, 951, 1585, 2219, 2853, 4755, 6657, 11095, 14265, 19971, 33285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99840 and 99855. The biggest common factor number is the GCF number.
So the greatest common factor 99840 and 99855 is 15.

Also check out the Least Common Multiple of 99840 and 99855