What is the Greatest Common Factor of 33249 and 33264?

Greatest common factor (GCF) of 33249 and 33264 is 3.

GCF(33249,33264) = 3

We will now calculate the prime factors of 33249 and 33264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33249 and 33264.

How to find the GCF of 33249 and 33264?

We will first find the prime factorization of 33249 and 33264. After we will calculate the factors of 33249 and 33264 and find the biggest common factor number .

Step-1: Prime Factorization of 33249

Prime factors of 33249 are 3, 11083. Prime factorization of 33249 in exponential form is:

33249 = 3¹ × 11083¹

Step-2: 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-3: Factors of 33249

List of positive integer factors of 33249 that divides 33249 without a remainder.

1, 3, 11083

Step-4: Factors of 33264

List of positive integer factors of 33264 that divides 33249 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33249 and 33264. The biggest common factor number is the GCF number.
So the greatest common factor 33249 and 33264 is 3.

Also check out the Least Common Multiple of 33249 and 33264