What is the Greatest Common Factor of 90288 and 90306?

Greatest common factor (GCF) of 90288 and 90306 is 18.

GCF(90288,90306) = 18

We will now calculate the prime factors of 90288 and 90306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90288 and 90306.

How to find the GCF of 90288 and 90306?

We will first find the prime factorization of 90288 and 90306. After we will calculate the factors of 90288 and 90306 and find the biggest common factor number .

Step-1: Prime Factorization of 90288

Prime factors of 90288 are 2, 3, 11, 19. Prime factorization of 90288 in exponential form is:

90288 = 2⁴ × 3³ × 11¹ × 19¹

Step-2: Prime Factorization of 90306

Prime factors of 90306 are 2, 3, 29, 173. Prime factorization of 90306 in exponential form is:

90306 = 2¹ × 3² × 29¹ × 173¹

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 90306

List of positive integer factors of 90306 that divides 90288 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 173, 174, 261, 346, 519, 522, 1038, 1557, 3114, 5017, 10034, 15051, 30102, 45153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90288 and 90306. The biggest common factor number is the GCF number.
So the greatest common factor 90288 and 90306 is 18.

Also check out the Least Common Multiple of 90288 and 90306