What is the Greatest Common Factor of 33384 and 33396?

Greatest common factor (GCF) of 33384 and 33396 is 12.

GCF(33384,33396) = 12

We will now calculate the prime factors of 33384 and 33396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33384 and 33396.

How to find the GCF of 33384 and 33396?

We will first find the prime factorization of 33384 and 33396. After we will calculate the factors of 33384 and 33396 and find the biggest common factor number .

Step-1: Prime Factorization of 33384

Prime factors of 33384 are 2, 3, 13, 107. Prime factorization of 33384 in exponential form is:

33384 = 2³ × 3¹ × 13¹ × 107¹

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 33384

List of positive integer factors of 33384 that divides 33384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 107, 156, 214, 312, 321, 428, 642, 856, 1284, 1391, 2568, 2782, 4173, 5564, 8346, 11128, 16692

Step-4: Factors of 33396

List of positive integer factors of 33396 that divides 33384 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 33384 and 33396. The biggest common factor number is the GCF number.
So the greatest common factor 33384 and 33396 is 12.

Also check out the Least Common Multiple of 33384 and 33396