What is the Greatest Common Factor of 33440 and 33456?

Greatest common factor (GCF) of 33440 and 33456 is 16.

GCF(33440,33456) = 16

We will now calculate the prime factors of 33440 and 33456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33440 and 33456.

How to find the GCF of 33440 and 33456?

We will first find the prime factorization of 33440 and 33456. After we will calculate the factors of 33440 and 33456 and find the biggest common factor number .

Step-1: Prime Factorization of 33440

Prime factors of 33440 are 2, 5, 11, 19. Prime factorization of 33440 in exponential form is:

33440 = 2⁵ × 5¹ × 11¹ × 19¹

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 33440

List of positive integer factors of 33440 that divides 33440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 32, 38, 40, 44, 55, 76, 80, 88, 95, 110, 152, 160, 176, 190, 209, 220, 304, 352, 380, 418, 440, 608, 760, 836, 880, 1045, 1520, 1672, 1760, 2090, 3040, 3344, 4180, 6688, 8360, 16720

Step-4: Factors of 33456

List of positive integer factors of 33456 that divides 33440 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 33440 and 33456. The biggest common factor number is the GCF number.
So the greatest common factor 33440 and 33456 is 16.

Also check out the Least Common Multiple of 33440 and 33456