What is the Greatest Common Factor of 33909 and 33919?

Greatest common factor (GCF) of 33909 and 33919 is 1.

GCF(33909,33919) = 1

We will now calculate the prime factors of 33909 and 33919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33909 and 33919.

How to find the GCF of 33909 and 33919?

We will first find the prime factorization of 33909 and 33919. After we will calculate the factors of 33909 and 33919 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33919

Prime factors of 33919 are 107, 317. Prime factorization of 33919 in exponential form is:

33919 = 107¹ × 317¹

Step-3: Factors of 33909

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

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

Step-4: Factors of 33919

List of positive integer factors of 33919 that divides 33909 without a remainder.

1, 107, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33909 and 33919. The biggest common factor number is the GCF number.
So the greatest common factor 33909 and 33919 is 1.

Also check out the Least Common Multiple of 33909 and 33919