What is the Greatest Common Factor of 34082 and 34098?

Greatest common factor (GCF) of 34082 and 34098 is 2.

GCF(34082,34098) = 2

We will now calculate the prime factors of 34082 and 34098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34082 and 34098.

How to find the GCF of 34082 and 34098?

We will first find the prime factorization of 34082 and 34098. After we will calculate the factors of 34082 and 34098 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 34098

Prime factors of 34098 are 2, 3, 5683. Prime factorization of 34098 in exponential form is:

34098 = 2¹ × 3¹ × 5683¹

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 34098

List of positive integer factors of 34098 that divides 34082 without a remainder.

1, 2, 3, 6, 5683, 11366, 17049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34082 and 34098. The biggest common factor number is the GCF number.
So the greatest common factor 34082 and 34098 is 2.

Also check out the Least Common Multiple of 34082 and 34098