What is the Greatest Common Factor of 99824 and 99840?

Greatest common factor (GCF) of 99824 and 99840 is 16.

GCF(99824,99840) = 16

We will now calculate the prime factors of 99824 and 99840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99824 and 99840.

How to find the GCF of 99824 and 99840?

We will first find the prime factorization of 99824 and 99840. After we will calculate the factors of 99824 and 99840 and find the biggest common factor number .

Step-1: Prime Factorization of 99824

Prime factors of 99824 are 2, 17, 367. Prime factorization of 99824 in exponential form is:

99824 = 2⁴ × 17¹ × 367¹

Step-2: 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-3: Factors of 99824

List of positive integer factors of 99824 that divides 99824 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 367, 734, 1468, 2936, 5872, 6239, 12478, 24956, 49912

Step-4: Factors of 99840

List of positive integer factors of 99840 that divides 99824 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99824 and 99840. The biggest common factor number is the GCF number.
So the greatest common factor 99824 and 99840 is 16.

Also check out the Least Common Multiple of 99824 and 99840