What is the Greatest Common Factor of 3196 and 3206?

Greatest common factor (GCF) of 3196 and 3206 is 2.

GCF(3196,3206) = 2

We will now calculate the prime factors of 3196 and 3206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3196 and 3206.

How to find the GCF of 3196 and 3206?

We will first find the prime factorization of 3196 and 3206. After we will calculate the factors of 3196 and 3206 and find the biggest common factor number .

Step-1: Prime Factorization of 3196

Prime factors of 3196 are 2, 17, 47. Prime factorization of 3196 in exponential form is:

3196 = 2² × 17¹ × 47¹

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 3196

List of positive integer factors of 3196 that divides 3196 without a remainder.

1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598

Step-4: Factors of 3206

List of positive integer factors of 3206 that divides 3196 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3196 and 3206. The biggest common factor number is the GCF number.
So the greatest common factor 3196 and 3206 is 2.

Also check out the Least Common Multiple of 3196 and 3206