What is the Greatest Common Factor of 89838 and 89856?

Greatest common factor (GCF) of 89838 and 89856 is 18.

GCF(89838,89856) = 18

We will now calculate the prime factors of 89838 and 89856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89838 and 89856.

How to find the GCF of 89838 and 89856?

We will first find the prime factorization of 89838 and 89856. After we will calculate the factors of 89838 and 89856 and find the biggest common factor number .

Step-1: Prime Factorization of 89838

Prime factors of 89838 are 2, 3, 7, 23, 31. Prime factorization of 89838 in exponential form is:

89838 = 2¹ × 3² × 7¹ × 23¹ × 31¹

Step-2: 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-3: Factors of 89838

List of positive integer factors of 89838 that divides 89838 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 31, 42, 46, 62, 63, 69, 93, 126, 138, 161, 186, 207, 217, 279, 322, 414, 434, 483, 558, 651, 713, 966, 1302, 1426, 1449, 1953, 2139, 2898, 3906, 4278, 4991, 6417, 9982, 12834, 14973, 29946, 44919

Step-4: Factors of 89856

List of positive integer factors of 89856 that divides 89838 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89838 and 89856. The biggest common factor number is the GCF number.
So the greatest common factor 89838 and 89856 is 18.

Also check out the Least Common Multiple of 89838 and 89856