What is the Greatest Common Factor of 33909 and 33916?

Greatest common factor (GCF) of 33909 and 33916 is 1.

GCF(33909,33916) = 1

We will now calculate the prime factors of 33909 and 33916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33909 and 33916.

How to find the GCF of 33909 and 33916?

We will first find the prime factorization of 33909 and 33916. After we will calculate the factors of 33909 and 33916 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 33916

Prime factors of 33916 are 2, 61, 139. Prime factorization of 33916 in exponential form is:

33916 = 2² × 61¹ × 139¹

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 33916

List of positive integer factors of 33916 that divides 33909 without a remainder.

1, 2, 4, 61, 122, 139, 244, 278, 556, 8479, 16958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33909 and 33916. The biggest common factor number is the GCF number.
So the greatest common factor 33909 and 33916 is 1.

Also check out the Least Common Multiple of 33909 and 33916