What is the Greatest Common Factor of 3208 and 3214?

Greatest common factor (GCF) of 3208 and 3214 is 2.

GCF(3208,3214) = 2

We will now calculate the prime factors of 3208 and 3214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3208 and 3214.

How to find the GCF of 3208 and 3214?

We will first find the prime factorization of 3208 and 3214. After we will calculate the factors of 3208 and 3214 and find the biggest common factor number .

Step-1: Prime Factorization of 3208

Prime factors of 3208 are 2, 401. Prime factorization of 3208 in exponential form is:

3208 = 2³ × 401¹

Step-2: Prime Factorization of 3214

Prime factors of 3214 are 2, 1607. Prime factorization of 3214 in exponential form is:

3214 = 2¹ × 1607¹

Step-3: Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1, 2, 4, 8, 401, 802, 1604

Step-4: Factors of 3214

List of positive integer factors of 3214 that divides 3208 without a remainder.

1, 2, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3208 and 3214. The biggest common factor number is the GCF number.
So the greatest common factor 3208 and 3214 is 2.

Also check out the Least Common Multiple of 3208 and 3214