What is the Greatest Common Factor of 33390 and 33396?

Greatest common factor (GCF) of 33390 and 33396 is 6.

GCF(33390,33396) = 6

We will now calculate the prime factors of 33390 and 33396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33390 and 33396.

How to find the GCF of 33390 and 33396?

We will first find the prime factorization of 33390 and 33396. After we will calculate the factors of 33390 and 33396 and find the biggest common factor number .

Step-1: Prime Factorization of 33390

Prime factors of 33390 are 2, 3, 5, 7, 53. Prime factorization of 33390 in exponential form is:

33390 = 2¹ × 3² × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 33396

Prime factors of 33396 are 2, 3, 11, 23. Prime factorization of 33396 in exponential form is:

33396 = 2² × 3¹ × 11² × 23¹

Step-3: Factors of 33390

List of positive integer factors of 33390 that divides 33390 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 53, 63, 70, 90, 105, 106, 126, 159, 210, 265, 315, 318, 371, 477, 530, 630, 742, 795, 954, 1113, 1590, 1855, 2226, 2385, 3339, 3710, 4770, 5565, 6678, 11130, 16695

Step-4: Factors of 33396

List of positive integer factors of 33396 that divides 33390 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 121, 132, 138, 242, 253, 276, 363, 484, 506, 726, 759, 1012, 1452, 1518, 2783, 3036, 5566, 8349, 11132, 16698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33390 and 33396. The biggest common factor number is the GCF number.
So the greatest common factor 33390 and 33396 is 6.

Also check out the Least Common Multiple of 33390 and 33396