What is the Greatest Common Factor of 89856 and 89869?

Greatest common factor (GCF) of 89856 and 89869 is 13.

GCF(89856,89869) = 13

We will now calculate the prime factors of 89856 and 89869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89856 and 89869.

How to find the GCF of 89856 and 89869?

We will first find the prime factorization of 89856 and 89869. After we will calculate the factors of 89856 and 89869 and find the biggest common factor number .

Step-1: Prime Factorization of 89856

Prime factors of 89856 are 2, 3, 13. Prime factorization of 89856 in exponential form is:

89856 = 2⁸ × 3³ × 13¹

Step-2: Prime Factorization of 89869

Prime factors of 89869 are 13, 31, 223. Prime factorization of 89869 in exponential form is:

89869 = 13¹ × 31¹ × 223¹

Step-3: Factors of 89856

List of positive integer factors of 89856 that divides 89856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 64, 72, 78, 96, 104, 108, 117, 128, 144, 156, 192, 208, 216, 234, 256, 288, 312, 351, 384, 416, 432, 468, 576, 624, 702, 768, 832, 864, 936, 1152, 1248, 1404, 1664, 1728, 1872, 2304, 2496, 2808, 3328, 3456, 3744, 4992, 5616, 6912, 7488, 9984, 11232, 14976, 22464, 29952, 44928

Step-4: Factors of 89869

List of positive integer factors of 89869 that divides 89856 without a remainder.

1, 13, 31, 223, 403, 2899, 6913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89856 and 89869. The biggest common factor number is the GCF number.
So the greatest common factor 89856 and 89869 is 13.

Also check out the Least Common Multiple of 89856 and 89869