What is the Greatest Common Factor of 99849 and 99864?

Greatest common factor (GCF) of 99849 and 99864 is 3.

GCF(99849,99864) = 3

We will now calculate the prime factors of 99849 and 99864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99849 and 99864.

How to find the GCF of 99849 and 99864?

We will first find the prime factorization of 99849 and 99864. After we will calculate the factors of 99849 and 99864 and find the biggest common factor number .

Step-1: Prime Factorization of 99849

Prime factors of 99849 are 3, 83, 401. Prime factorization of 99849 in exponential form is:

99849 = 3¹ × 83¹ × 401¹

Step-2: Prime Factorization of 99864

Prime factors of 99864 are 2, 3, 19, 73. Prime factorization of 99864 in exponential form is:

99864 = 2³ × 3² × 19¹ × 73¹

Step-3: Factors of 99849

List of positive integer factors of 99849 that divides 99849 without a remainder.

1, 3, 83, 249, 401, 1203, 33283

Step-4: Factors of 99864

List of positive integer factors of 99864 that divides 99849 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 73, 76, 114, 146, 152, 171, 219, 228, 292, 342, 438, 456, 584, 657, 684, 876, 1314, 1368, 1387, 1752, 2628, 2774, 4161, 5256, 5548, 8322, 11096, 12483, 16644, 24966, 33288, 49932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99849 and 99864. The biggest common factor number is the GCF number.
So the greatest common factor 99849 and 99864 is 3.

Also check out the Least Common Multiple of 99849 and 99864