What is the Greatest Common Factor of 34082 and 34096?

Greatest common factor (GCF) of 34082 and 34096 is 2.

GCF(34082,34096) = 2

We will now calculate the prime factors of 34082 and 34096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34082 and 34096.

How to find the GCF of 34082 and 34096?

We will first find the prime factorization of 34082 and 34096. After we will calculate the factors of 34082 and 34096 and find the biggest common factor number .

Step-1: Prime Factorization of 34082

Prime factors of 34082 are 2, 17041. Prime factorization of 34082 in exponential form is:

34082 = 2¹ × 17041¹

Step-2: Prime Factorization of 34096

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

34096 = 2⁴ × 2131¹

Step-3: Factors of 34082

List of positive integer factors of 34082 that divides 34082 without a remainder.

1, 2, 17041

Step-4: Factors of 34096

List of positive integer factors of 34096 that divides 34082 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34082 and 34096. The biggest common factor number is the GCF number.
So the greatest common factor 34082 and 34096 is 2.

Also check out the Least Common Multiple of 34082 and 34096