What is the Greatest Common Factor of 33104 and 33119?

Greatest common factor (GCF) of 33104 and 33119 is 1.

GCF(33104,33119) = 1

We will now calculate the prime factors of 33104 and 33119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33104 and 33119.

How to find the GCF of 33104 and 33119?

We will first find the prime factorization of 33104 and 33119. After we will calculate the factors of 33104 and 33119 and find the biggest common factor number .

Step-1: Prime Factorization of 33104

Prime factors of 33104 are 2, 2069. Prime factorization of 33104 in exponential form is:

33104 = 2⁴ × 2069¹

Step-2: Prime Factorization of 33119

Prime factors of 33119 are 33119. Prime factorization of 33119 in exponential form is:

33119 = 33119¹

Step-3: Factors of 33104

List of positive integer factors of 33104 that divides 33104 without a remainder.

1, 2, 4, 8, 16, 2069, 4138, 8276, 16552

Step-4: Factors of 33119

List of positive integer factors of 33119 that divides 33104 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33104 and 33119. The biggest common factor number is the GCF number.
So the greatest common factor 33104 and 33119 is 1.

Also check out the Least Common Multiple of 33104 and 33119