What is the Greatest Common Factor of 99822 and 99840?

Greatest common factor (GCF) of 99822 and 99840 is 6.

GCF(99822,99840) = 6

We will now calculate the prime factors of 99822 and 99840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99822 and 99840.

How to find the GCF of 99822 and 99840?

We will first find the prime factorization of 99822 and 99840. After we will calculate the factors of 99822 and 99840 and find the biggest common factor number .

Step-1: Prime Factorization of 99822

Prime factors of 99822 are 2, 3, 127, 131. Prime factorization of 99822 in exponential form is:

99822 = 2¹ × 3¹ × 127¹ × 131¹

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 99822

List of positive integer factors of 99822 that divides 99822 without a remainder.

1, 2, 3, 6, 127, 131, 254, 262, 381, 393, 762, 786, 16637, 33274, 49911

Step-4: Factors of 99840

List of positive integer factors of 99840 that divides 99822 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 99822 and 99840. The biggest common factor number is the GCF number.
So the greatest common factor 99822 and 99840 is 6.

Also check out the Least Common Multiple of 99822 and 99840