What is the Greatest Common Factor of 33264 and 33275?

Greatest common factor (GCF) of 33264 and 33275 is 11.

GCF(33264,33275) = 11

We will now calculate the prime factors of 33264 and 33275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33264 and 33275.

How to find the GCF of 33264 and 33275?

We will first find the prime factorization of 33264 and 33275. After we will calculate the factors of 33264 and 33275 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 33275

Prime factors of 33275 are 5, 11. Prime factorization of 33275 in exponential form is:

33275 = 5² × 11³

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 33275

List of positive integer factors of 33275 that divides 33264 without a remainder.

1, 5, 11, 25, 55, 121, 275, 605, 1331, 3025, 6655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33264 and 33275. The biggest common factor number is the GCF number.
So the greatest common factor 33264 and 33275 is 11.

Also check out the Least Common Multiple of 33264 and 33275