What is the Greatest Common Factor of 33408 and 33423?

Greatest common factor (GCF) of 33408 and 33423 is 3.

GCF(33408,33423) = 3

We will now calculate the prime factors of 33408 and 33423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33408 and 33423.

How to find the GCF of 33408 and 33423?

We will first find the prime factorization of 33408 and 33423. After we will calculate the factors of 33408 and 33423 and find the biggest common factor number .

Step-1: Prime Factorization of 33408

Prime factors of 33408 are 2, 3, 29. Prime factorization of 33408 in exponential form is:

33408 = 2⁷ × 3² × 29¹

Step-2: Prime Factorization of 33423

Prime factors of 33423 are 3, 13, 857. Prime factorization of 33423 in exponential form is:

33423 = 3¹ × 13¹ × 857¹

Step-3: Factors of 33408

List of positive integer factors of 33408 that divides 33408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 64, 72, 87, 96, 116, 128, 144, 174, 192, 232, 261, 288, 348, 384, 464, 522, 576, 696, 928, 1044, 1152, 1392, 1856, 2088, 2784, 3712, 4176, 5568, 8352, 11136, 16704

Step-4: Factors of 33423

List of positive integer factors of 33423 that divides 33408 without a remainder.

1, 3, 13, 39, 857, 2571, 11141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33408 and 33423. The biggest common factor number is the GCF number.
So the greatest common factor 33408 and 33423 is 3.

Also check out the Least Common Multiple of 33408 and 33423