What is the Greatest Common Factor of 33258 and 33264?

Greatest common factor (GCF) of 33258 and 33264 is 6.

GCF(33258,33264) = 6

We will now calculate the prime factors of 33258 and 33264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33258 and 33264.

How to find the GCF of 33258 and 33264?

We will first find the prime factorization of 33258 and 33264. After we will calculate the factors of 33258 and 33264 and find the biggest common factor number .

Step-1: Prime Factorization of 33258

Prime factors of 33258 are 2, 3, 23, 241. Prime factorization of 33258 in exponential form is:

33258 = 2¹ × 3¹ × 23¹ × 241¹

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 33258

List of positive integer factors of 33258 that divides 33258 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 241, 482, 723, 1446, 5543, 11086, 16629

Step-4: Factors of 33264

List of positive integer factors of 33264 that divides 33258 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 33258 and 33264. The biggest common factor number is the GCF number.
So the greatest common factor 33258 and 33264 is 6.

Also check out the Least Common Multiple of 33258 and 33264