What is the Greatest Common Factor of 34096 and 34108?

Greatest common factor (GCF) of 34096 and 34108 is 4.

GCF(34096,34108) = 4

We will now calculate the prime factors of 34096 and 34108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34096 and 34108.

How to find the GCF of 34096 and 34108?

We will first find the prime factorization of 34096 and 34108. After we will calculate the factors of 34096 and 34108 and find the biggest common factor number .

Step-1: Prime Factorization of 34096

Prime factors of 34096 are 2, 2131. Prime factorization of 34096 in exponential form is:

34096 = 2⁴ × 2131¹

Step-2: Prime Factorization of 34108

Prime factors of 34108 are 2, 8527. Prime factorization of 34108 in exponential form is:

34108 = 2² × 8527¹

Step-3: Factors of 34096

List of positive integer factors of 34096 that divides 34096 without a remainder.

1, 2, 4, 8, 16, 2131, 4262, 8524, 17048

Step-4: Factors of 34108

List of positive integer factors of 34108 that divides 34096 without a remainder.

1, 2, 4, 8527, 17054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34096 and 34108. The biggest common factor number is the GCF number.
So the greatest common factor 34096 and 34108 is 4.

Also check out the Least Common Multiple of 34096 and 34108