What is the Greatest Common Factor of 33399 and 33414?

Greatest common factor (GCF) of 33399 and 33414 is 3.

GCF(33399,33414) = 3

We will now calculate the prime factors of 33399 and 33414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33399 and 33414.

How to find the GCF of 33399 and 33414?

We will first find the prime factorization of 33399 and 33414. After we will calculate the factors of 33399 and 33414 and find the biggest common factor number .

Step-1: Prime Factorization of 33399

Prime factors of 33399 are 3, 1237. Prime factorization of 33399 in exponential form is:

33399 = 3³ × 1237¹

Step-2: Prime Factorization of 33414

Prime factors of 33414 are 2, 3, 5569. Prime factorization of 33414 in exponential form is:

33414 = 2¹ × 3¹ × 5569¹

Step-3: Factors of 33399

List of positive integer factors of 33399 that divides 33399 without a remainder.

1, 3, 9, 27, 1237, 3711, 11133

Step-4: Factors of 33414

List of positive integer factors of 33414 that divides 33399 without a remainder.

1, 2, 3, 6, 5569, 11138, 16707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33399 and 33414. The biggest common factor number is the GCF number.
So the greatest common factor 33399 and 33414 is 3.

Also check out the Least Common Multiple of 33399 and 33414