What is the Greatest Common Factor of 34198 and 34206?

Greatest common factor (GCF) of 34198 and 34206 is 2.

GCF(34198,34206) = 2

We will now calculate the prime factors of 34198 and 34206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34198 and 34206.

How to find the GCF of 34198 and 34206?

We will first find the prime factorization of 34198 and 34206. After we will calculate the factors of 34198 and 34206 and find the biggest common factor number .

Step-1: Prime Factorization of 34198

Prime factors of 34198 are 2, 17099. Prime factorization of 34198 in exponential form is:

34198 = 2¹ × 17099¹

Step-2: Prime Factorization of 34206

Prime factors of 34206 are 2, 3, 5701. Prime factorization of 34206 in exponential form is:

34206 = 2¹ × 3¹ × 5701¹

Step-3: Factors of 34198

List of positive integer factors of 34198 that divides 34198 without a remainder.

1, 2, 17099

Step-4: Factors of 34206

List of positive integer factors of 34206 that divides 34198 without a remainder.

1, 2, 3, 6, 5701, 11402, 17103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34198 and 34206. The biggest common factor number is the GCF number.
So the greatest common factor 34198 and 34206 is 2.

Also check out the Least Common Multiple of 34198 and 34206