What is the Greatest Common Factor of 99827 and 99840?

Greatest common factor (GCF) of 99827 and 99840 is 13.

GCF(99827,99840) = 13

We will now calculate the prime factors of 99827 and 99840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99827 and 99840.

How to find the GCF of 99827 and 99840?

We will first find the prime factorization of 99827 and 99840. After we will calculate the factors of 99827 and 99840 and find the biggest common factor number .

Step-1: Prime Factorization of 99827

Prime factors of 99827 are 7, 13, 1097. Prime factorization of 99827 in exponential form is:

99827 = 7¹ × 13¹ × 1097¹

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 99827

List of positive integer factors of 99827 that divides 99827 without a remainder.

1, 7, 13, 91, 1097, 7679, 14261

Step-4: Factors of 99840

List of positive integer factors of 99840 that divides 99827 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 99827 and 99840. The biggest common factor number is the GCF number.
So the greatest common factor 99827 and 99840 is 13.

Also check out the Least Common Multiple of 99827 and 99840