What is the Greatest Common Factor of 89844 and 89856?

Greatest common factor (GCF) of 89844 and 89856 is 12.

GCF(89844,89856) = 12

We will now calculate the prime factors of 89844 and 89856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89844 and 89856.

How to find the GCF of 89844 and 89856?

We will first find the prime factorization of 89844 and 89856. After we will calculate the factors of 89844 and 89856 and find the biggest common factor number .

Step-1: Prime Factorization of 89844

Prime factors of 89844 are 2, 3, 7487. Prime factorization of 89844 in exponential form is:

89844 = 2² × 3¹ × 7487¹

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 89844

List of positive integer factors of 89844 that divides 89844 without a remainder.

1, 2, 3, 4, 6, 12, 7487, 14974, 22461, 29948, 44922

Step-4: Factors of 89856

List of positive integer factors of 89856 that divides 89844 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 89844 and 89856. The biggest common factor number is the GCF number.
So the greatest common factor 89844 and 89856 is 12.

Also check out the Least Common Multiple of 89844 and 89856