What is the Greatest Common Factor of 33264 and 33283?

Greatest common factor (GCF) of 33264 and 33283 is 1.

GCF(33264,33283) = 1

We will now calculate the prime factors of 33264 and 33283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33264 and 33283.

How to find the GCF of 33264 and 33283?

We will first find the prime factorization of 33264 and 33283. After we will calculate the factors of 33264 and 33283 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 33283

Prime factors of 33283 are 83, 401. Prime factorization of 33283 in exponential form is:

33283 = 83¹ × 401¹

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 33283

List of positive integer factors of 33283 that divides 33264 without a remainder.

1, 83, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33264 and 33283. The biggest common factor number is the GCF number.
So the greatest common factor 33264 and 33283 is 1.

Also check out the Least Common Multiple of 33264 and 33283