What is the Greatest Common Factor of 33408 and 33413?

Greatest common factor (GCF) of 33408 and 33413 is 1.

GCF(33408,33413) = 1

We will now calculate the prime factors of 33408 and 33413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33408 and 33413.

How to find the GCF of 33408 and 33413?

We will first find the prime factorization of 33408 and 33413. After we will calculate the factors of 33408 and 33413 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 33413

Prime factors of 33413 are 33413. Prime factorization of 33413 in exponential form is:

33413 = 33413¹

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 33413

List of positive integer factors of 33413 that divides 33408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33408 and 33413. The biggest common factor number is the GCF number.
So the greatest common factor 33408 and 33413 is 1.

Also check out the Least Common Multiple of 33408 and 33413