What is the Greatest Common Factor of 33904 and 33909?

Greatest common factor (GCF) of 33904 and 33909 is 1.

GCF(33904,33909) = 1

We will now calculate the prime factors of 33904 and 33909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33904 and 33909.

How to find the GCF of 33904 and 33909?

We will first find the prime factorization of 33904 and 33909. After we will calculate the factors of 33904 and 33909 and find the biggest common factor number .

Step-1: Prime Factorization of 33904

Prime factors of 33904 are 2, 13, 163. Prime factorization of 33904 in exponential form is:

33904 = 2⁴ × 13¹ × 163¹

Step-2: Prime Factorization of 33909

Prime factors of 33909 are 3, 89, 127. Prime factorization of 33909 in exponential form is:

33909 = 3¹ × 89¹ × 127¹

Step-3: Factors of 33904

List of positive integer factors of 33904 that divides 33904 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 163, 208, 326, 652, 1304, 2119, 2608, 4238, 8476, 16952

Step-4: Factors of 33909

List of positive integer factors of 33909 that divides 33904 without a remainder.

1, 3, 89, 127, 267, 381, 11303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33904 and 33909. The biggest common factor number is the GCF number.
So the greatest common factor 33904 and 33909 is 1.

Also check out the Least Common Multiple of 33904 and 33909