What is the Greatest Common Factor of 33384 and 33397?

Greatest common factor (GCF) of 33384 and 33397 is 13.

GCF(33384,33397) = 13

We will now calculate the prime factors of 33384 and 33397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33384 and 33397.

How to find the GCF of 33384 and 33397?

We will first find the prime factorization of 33384 and 33397. After we will calculate the factors of 33384 and 33397 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 33397

Prime factors of 33397 are 7, 13, 367. Prime factorization of 33397 in exponential form is:

33397 = 7¹ × 13¹ × 367¹

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 33397

List of positive integer factors of 33397 that divides 33384 without a remainder.

1, 7, 13, 91, 367, 2569, 4771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33384 and 33397. The biggest common factor number is the GCF number.
So the greatest common factor 33384 and 33397 is 13.

Also check out the Least Common Multiple of 33384 and 33397