What is the Greatest Common Factor of 89840 and 89856?

Greatest common factor (GCF) of 89840 and 89856 is 16.

GCF(89840,89856) = 16

We will now calculate the prime factors of 89840 and 89856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89840 and 89856.

How to find the GCF of 89840 and 89856?

We will first find the prime factorization of 89840 and 89856. After we will calculate the factors of 89840 and 89856 and find the biggest common factor number .

Step-1: Prime Factorization of 89840

Prime factors of 89840 are 2, 5, 1123. Prime factorization of 89840 in exponential form is:

89840 = 2⁴ × 5¹ × 1123¹

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 89840

List of positive integer factors of 89840 that divides 89840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1123, 2246, 4492, 5615, 8984, 11230, 17968, 22460, 44920

Step-4: Factors of 89856

List of positive integer factors of 89856 that divides 89840 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 89840 and 89856. The biggest common factor number is the GCF number.
So the greatest common factor 89840 and 89856 is 16.

Also check out the Least Common Multiple of 89840 and 89856