What is the Greatest Common Factor of 3194 and 3206?

Greatest common factor (GCF) of 3194 and 3206 is 2.

GCF(3194,3206) = 2

We will now calculate the prime factors of 3194 and 3206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3194 and 3206.

How to find the GCF of 3194 and 3206?

We will first find the prime factorization of 3194 and 3206. After we will calculate the factors of 3194 and 3206 and find the biggest common factor number .

Step-1: Prime Factorization of 3194

Prime factors of 3194 are 2, 1597. Prime factorization of 3194 in exponential form is:

3194 = 2¹ × 1597¹

Step-2: Prime Factorization of 3206

Prime factors of 3206 are 2, 7, 229. Prime factorization of 3206 in exponential form is:

3206 = 2¹ × 7¹ × 229¹

Step-3: Factors of 3194

List of positive integer factors of 3194 that divides 3194 without a remainder.

1, 2, 1597

Step-4: Factors of 3206

List of positive integer factors of 3206 that divides 3194 without a remainder.

1, 2, 7, 14, 229, 458, 1603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3194 and 3206. The biggest common factor number is the GCF number.
So the greatest common factor 3194 and 3206 is 2.

Also check out the Least Common Multiple of 3194 and 3206