What is the Greatest Common Factor of 33447 and 33456?

Greatest common factor (GCF) of 33447 and 33456 is 3.

GCF(33447,33456) = 3

We will now calculate the prime factors of 33447 and 33456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33447 and 33456.

How to find the GCF of 33447 and 33456?

We will first find the prime factorization of 33447 and 33456. After we will calculate the factors of 33447 and 33456 and find the biggest common factor number .

Step-1: Prime Factorization of 33447

Prime factors of 33447 are 3, 11149. Prime factorization of 33447 in exponential form is:

33447 = 3¹ × 11149¹

Step-2: Prime Factorization of 33456

Prime factors of 33456 are 2, 3, 17, 41. Prime factorization of 33456 in exponential form is:

33456 = 2⁴ × 3¹ × 17¹ × 41¹

Step-3: Factors of 33447

List of positive integer factors of 33447 that divides 33447 without a remainder.

1, 3, 11149

Step-4: Factors of 33456

List of positive integer factors of 33456 that divides 33447 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 41, 48, 51, 68, 82, 102, 123, 136, 164, 204, 246, 272, 328, 408, 492, 656, 697, 816, 984, 1394, 1968, 2091, 2788, 4182, 5576, 8364, 11152, 16728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33447 and 33456. The biggest common factor number is the GCF number.
So the greatest common factor 33447 and 33456 is 3.

Also check out the Least Common Multiple of 33447 and 33456