What is the Greatest Common Factor of 33408 and 33417?

Greatest common factor (GCF) of 33408 and 33417 is 9.

GCF(33408,33417) = 9

We will now calculate the prime factors of 33408 and 33417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33408 and 33417.

How to find the GCF of 33408 and 33417?

We will first find the prime factorization of 33408 and 33417. After we will calculate the factors of 33408 and 33417 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 33417

Prime factors of 33417 are 3, 47, 79. Prime factorization of 33417 in exponential form is:

33417 = 3² × 47¹ × 79¹

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 33417

List of positive integer factors of 33417 that divides 33408 without a remainder.

1, 3, 9, 47, 79, 141, 237, 423, 711, 3713, 11139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33408 and 33417. The biggest common factor number is the GCF number.
So the greatest common factor 33408 and 33417 is 9.

Also check out the Least Common Multiple of 33408 and 33417