What is the Greatest Common Factor of 33408 and 33424?

Greatest common factor (GCF) of 33408 and 33424 is 16.

GCF(33408,33424) = 16

We will now calculate the prime factors of 33408 and 33424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33408 and 33424.

How to find the GCF of 33408 and 33424?

We will first find the prime factorization of 33408 and 33424. After we will calculate the factors of 33408 and 33424 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 33424

Prime factors of 33424 are 2, 2089. Prime factorization of 33424 in exponential form is:

33424 = 2⁴ × 2089¹

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 33424

List of positive integer factors of 33424 that divides 33408 without a remainder.

1, 2, 4, 8, 16, 2089, 4178, 8356, 16712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33408 and 33424. The biggest common factor number is the GCF number.
So the greatest common factor 33408 and 33424 is 16.

Also check out the Least Common Multiple of 33408 and 33424