What is the Greatest Common Factor of 3206 and 3213?

Greatest common factor (GCF) of 3206 and 3213 is 7.

GCF(3206,3213) = 7

We will now calculate the prime factors of 3206 and 3213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3206 and 3213.

How to find the GCF of 3206 and 3213?

We will first find the prime factorization of 3206 and 3213. After we will calculate the factors of 3206 and 3213 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3213

Prime factors of 3213 are 3, 7, 17. Prime factorization of 3213 in exponential form is:

3213 = 3³ × 7¹ × 17¹

Step-3: Factors of 3206

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

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

Step-4: Factors of 3213

List of positive integer factors of 3213 that divides 3206 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3206 and 3213. The biggest common factor number is the GCF number.
So the greatest common factor 3206 and 3213 is 7.

Also check out the Least Common Multiple of 3206 and 3213