What is the Greatest Common Factor of 33450 and 33456?

Greatest common factor (GCF) of 33450 and 33456 is 6.

GCF(33450,33456) = 6

We will now calculate the prime factors of 33450 and 33456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33450 and 33456.

How to find the GCF of 33450 and 33456?

We will first find the prime factorization of 33450 and 33456. After we will calculate the factors of 33450 and 33456 and find the biggest common factor number .

Step-1: Prime Factorization of 33450

Prime factors of 33450 are 2, 3, 5, 223. Prime factorization of 33450 in exponential form is:

33450 = 2¹ × 3¹ × 5² × 223¹

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 33450

List of positive integer factors of 33450 that divides 33450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 223, 446, 669, 1115, 1338, 2230, 3345, 5575, 6690, 11150, 16725

Step-4: Factors of 33456

List of positive integer factors of 33456 that divides 33450 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 33450 and 33456. The biggest common factor number is the GCF number.
So the greatest common factor 33450 and 33456 is 6.

Also check out the Least Common Multiple of 33450 and 33456