What is the Greatest Common Factor of 90272 and 90288?

Greatest common factor (GCF) of 90272 and 90288 is 16.

GCF(90272,90288) = 16

We will now calculate the prime factors of 90272 and 90288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90272 and 90288.

How to find the GCF of 90272 and 90288?

We will first find the prime factorization of 90272 and 90288. After we will calculate the factors of 90272 and 90288 and find the biggest common factor number .

Step-1: Prime Factorization of 90272

Prime factors of 90272 are 2, 7, 13, 31. Prime factorization of 90272 in exponential form is:

90272 = 2⁵ × 7¹ × 13¹ × 31¹

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 90272

List of positive integer factors of 90272 that divides 90272 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 31, 32, 52, 56, 62, 91, 104, 112, 124, 182, 208, 217, 224, 248, 364, 403, 416, 434, 496, 728, 806, 868, 992, 1456, 1612, 1736, 2821, 2912, 3224, 3472, 5642, 6448, 6944, 11284, 12896, 22568, 45136

Step-4: Factors of 90288

List of positive integer factors of 90288 that divides 90272 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 90272 and 90288. The biggest common factor number is the GCF number.
So the greatest common factor 90272 and 90288 is 16.

Also check out the Least Common Multiple of 90272 and 90288