What is the Greatest Common Factor of 90269 and 90288?

Greatest common factor (GCF) of 90269 and 90288 is 19.

GCF(90269,90288) = 19

We will now calculate the prime factors of 90269 and 90288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90269 and 90288.

How to find the GCF of 90269 and 90288?

We will first find the prime factorization of 90269 and 90288. After we will calculate the factors of 90269 and 90288 and find the biggest common factor number .

Step-1: Prime Factorization of 90269

Prime factors of 90269 are 19, 4751. Prime factorization of 90269 in exponential form is:

90269 = 19¹ × 4751¹

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 90269

List of positive integer factors of 90269 that divides 90269 without a remainder.

1, 19, 4751

Step-4: Factors of 90288

List of positive integer factors of 90288 that divides 90269 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 90269 and 90288. The biggest common factor number is the GCF number.
So the greatest common factor 90269 and 90288 is 19.

Also check out the Least Common Multiple of 90269 and 90288