What is the Greatest Common Factor of 89856 and 89860?

Greatest common factor (GCF) of 89856 and 89860 is 4.

GCF(89856,89860) = 4

We will now calculate the prime factors of 89856 and 89860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89856 and 89860.

How to find the GCF of 89856 and 89860?

We will first find the prime factorization of 89856 and 89860. After we will calculate the factors of 89856 and 89860 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 89860

Prime factors of 89860 are 2, 5, 4493. Prime factorization of 89860 in exponential form is:

89860 = 2² × 5¹ × 4493¹

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 89860

List of positive integer factors of 89860 that divides 89856 without a remainder.

1, 2, 4, 5, 10, 20, 4493, 8986, 17972, 22465, 44930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89856 and 89860. The biggest common factor number is the GCF number.
So the greatest common factor 89856 and 89860 is 4.

Also check out the Least Common Multiple of 89856 and 89860