What is the Greatest Common Factor of 90288 and 90300?

How to find the GCF of 90288 and 90300?

We will first find the prime factorization of 90288 and 90300. After we will calculate the factors of 90288 and 90300 and find the biggest common factor number .

Step-1: Prime Factorization of 90288

Step-2: Prime Factorization of 90300

Step-3: Factors of 90288

List of positive integer factors of 90288 that divides 90288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 19, 22, 24, 27, 33, 36, 38, 44, 48, 54, 57, 66, 72, 76, 88, 99, 108, 114, 132, 144, 152, 171, 176, 198, 209, 216, 228, 264, 297, 304, 342, 396, 418, 432, 456, 513, 528, 594, 627, 684, 792, 836, 912, 1026, 1188, 1254, 1368, 1584, 1672, 1881, 2052, 2376, 2508, 2736, 3344, 3762, 4104, 4752, 5016, 5643, 7524, 8208, 10032, 11286, 15048, 22572, 30096, 45144

Step-4: Factors of 90300

List of positive integer factors of 90300 that divides 90288 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 43, 50, 60, 70, 75, 84, 86, 100, 105, 129, 140, 150, 172, 175, 210, 215, 258, 300, 301, 350, 420, 430, 516, 525, 602, 645, 700, 860, 903, 1050, 1075, 1204, 1290, 1505, 1806, 2100, 2150, 2580, 3010, 3225, 3612, 4300, 4515, 6020, 6450, 7525, 9030, 12900, 15050, 18060, 22575, 30100, 45150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90288 and 90300. The biggest common factor number is the GCF number.
So the greatest common factor 90288 and 90300 is 12.

Also check out the Least Common Multiple of 90288 and 90300