What is the Greatest Common Factor of 90279 and 90288?

Greatest common factor (GCF) of 90279 and 90288 is 9.

GCF(90279,90288) = 9

We will now calculate the prime factors of 90279 and 90288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90279 and 90288.

How to find the GCF of 90279 and 90288?

We will first find the prime factorization of 90279 and 90288. After we will calculate the factors of 90279 and 90288 and find the biggest common factor number .

Step-1: Prime Factorization of 90279

Prime factors of 90279 are 3, 7, 1433. Prime factorization of 90279 in exponential form is:

90279 = 3² × 7¹ × 1433¹

Step-2: 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-3: Factors of 90279

List of positive integer factors of 90279 that divides 90279 without a remainder.

1, 3, 7, 9, 21, 63, 1433, 4299, 10031, 12897, 30093

Step-4: Factors of 90288

List of positive integer factors of 90288 that divides 90279 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90279 and 90288. The biggest common factor number is the GCF number.
So the greatest common factor 90279 and 90288 is 9.

Also check out the Least Common Multiple of 90279 and 90288