What is the Greatest Common Factor of 33366 and 33375?

Greatest common factor (GCF) of 33366 and 33375 is 3.

GCF(33366,33375) = 3

We will now calculate the prime factors of 33366 and 33375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33366 and 33375.

How to find the GCF of 33366 and 33375?

We will first find the prime factorization of 33366 and 33375. After we will calculate the factors of 33366 and 33375 and find the biggest common factor number .

Step-1: Prime Factorization of 33366

Prime factors of 33366 are 2, 3, 67, 83. Prime factorization of 33366 in exponential form is:

33366 = 2¹ × 3¹ × 67¹ × 83¹

Step-2: Prime Factorization of 33375

Prime factors of 33375 are 3, 5, 89. Prime factorization of 33375 in exponential form is:

33375 = 3¹ × 5³ × 89¹

Step-3: Factors of 33366

List of positive integer factors of 33366 that divides 33366 without a remainder.

1, 2, 3, 6, 67, 83, 134, 166, 201, 249, 402, 498, 5561, 11122, 16683

Step-4: Factors of 33375

List of positive integer factors of 33375 that divides 33366 without a remainder.

1, 3, 5, 15, 25, 75, 89, 125, 267, 375, 445, 1335, 2225, 6675, 11125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33366 and 33375. The biggest common factor number is the GCF number.
So the greatest common factor 33366 and 33375 is 3.

Also check out the Least Common Multiple of 33366 and 33375