What is the Greatest Common Factor of 33456 and 33465?

Greatest common factor (GCF) of 33456 and 33465 is 3.

GCF(33456,33465) = 3

We will now calculate the prime factors of 33456 and 33465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33456 and 33465.

How to find the GCF of 33456 and 33465?

We will first find the prime factorization of 33456 and 33465. After we will calculate the factors of 33456 and 33465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33465

Prime factors of 33465 are 3, 5, 23, 97. Prime factorization of 33465 in exponential form is:

33465 = 3¹ × 5¹ × 23¹ × 97¹

Step-3: Factors of 33456

List of positive integer factors of 33456 that divides 33456 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

Step-4: Factors of 33465

List of positive integer factors of 33465 that divides 33456 without a remainder.

1, 3, 5, 15, 23, 69, 97, 115, 291, 345, 485, 1455, 2231, 6693, 11155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33456 and 33465. The biggest common factor number is the GCF number.
So the greatest common factor 33456 and 33465 is 3.

Also check out the Least Common Multiple of 33456 and 33465