What is the Greatest Common Factor of 33264 and 33270?

Greatest common factor (GCF) of 33264 and 33270 is 6.

GCF(33264,33270) = 6

We will now calculate the prime factors of 33264 and 33270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33264 and 33270.

How to find the GCF of 33264 and 33270?

We will first find the prime factorization of 33264 and 33270. After we will calculate the factors of 33264 and 33270 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 33270

Prime factors of 33270 are 2, 3, 5, 1109. Prime factorization of 33270 in exponential form is:

33270 = 2¹ × 3¹ × 5¹ × 1109¹

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 33270

List of positive integer factors of 33270 that divides 33264 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1109, 2218, 3327, 5545, 6654, 11090, 16635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33264 and 33270. The biggest common factor number is the GCF number.
So the greatest common factor 33264 and 33270 is 6.

Also check out the Least Common Multiple of 33264 and 33270