What is the Greatest Common Factor of 33264 and 33280?

Greatest common factor (GCF) of 33264 and 33280 is 16.

GCF(33264,33280) = 16

We will now calculate the prime factors of 33264 and 33280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33264 and 33280.

How to find the GCF of 33264 and 33280?

We will first find the prime factorization of 33264 and 33280. After we will calculate the factors of 33264 and 33280 and find the biggest common factor number .

Step-1: Prime Factorization of 33264

Prime factors of 33264 are 2, 3, 7, 11. Prime factorization of 33264 in exponential form is:

33264 = 2⁴ × 3³ × 7¹ × 11¹

Step-2: Prime Factorization of 33280

Prime factors of 33280 are 2, 5, 13. Prime factorization of 33280 in exponential form is:

33280 = 2⁹ × 5¹ × 13¹

Step-3: Factors of 33264

List of positive integer factors of 33264 that divides 33264 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 48, 54, 56, 63, 66, 72, 77, 84, 88, 99, 108, 112, 126, 132, 144, 154, 168, 176, 189, 198, 216, 231, 252, 264, 297, 308, 336, 378, 396, 432, 462, 504, 528, 594, 616, 693, 756, 792, 924, 1008, 1188, 1232, 1386, 1512, 1584, 1848, 2079, 2376, 2772, 3024, 3696, 4158, 4752, 5544, 8316, 11088, 16632

Step-4: Factors of 33280

List of positive integer factors of 33280 that divides 33264 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 320, 416, 512, 520, 640, 832, 1040, 1280, 1664, 2080, 2560, 3328, 4160, 6656, 8320, 16640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33264 and 33280. The biggest common factor number is the GCF number.
So the greatest common factor 33264 and 33280 is 16.

Also check out the Least Common Multiple of 33264 and 33280