What is the Greatest Common Factor of 90288 and 90296?

Greatest common factor (GCF) of 90288 and 90296 is 8.

GCF(90288,90296) = 8

We will now calculate the prime factors of 90288 and 90296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90288 and 90296.

How to find the GCF of 90288 and 90296?

We will first find the prime factorization of 90288 and 90296. After we will calculate the factors of 90288 and 90296 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 90296

Prime factors of 90296 are 2, 11287. Prime factorization of 90296 in exponential form is:

90296 = 2³ × 11287¹

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 90296

List of positive integer factors of 90296 that divides 90288 without a remainder.

1, 2, 4, 8, 11287, 22574, 45148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90288 and 90296. The biggest common factor number is the GCF number.
So the greatest common factor 90288 and 90296 is 8.

Also check out the Least Common Multiple of 90288 and 90296