What is the Greatest Common Factor of 3204 and 3208?

Greatest common factor (GCF) of 3204 and 3208 is 4.

GCF(3204,3208) = 4

We will now calculate the prime factors of 3204 and 3208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3204 and 3208.

How to find the GCF of 3204 and 3208?

We will first find the prime factorization of 3204 and 3208. After we will calculate the factors of 3204 and 3208 and find the biggest common factor number .

Step-1: Prime Factorization of 3204

Prime factors of 3204 are 2, 3, 89. Prime factorization of 3204 in exponential form is:

3204 = 2² × 3² × 89¹

Step-2: Prime Factorization of 3208

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

3208 = 2³ × 401¹

Step-3: Factors of 3204

List of positive integer factors of 3204 that divides 3204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602

Step-4: Factors of 3208

List of positive integer factors of 3208 that divides 3204 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3204 and 3208. The biggest common factor number is the GCF number.
So the greatest common factor 3204 and 3208 is 4.

Also check out the Least Common Multiple of 3204 and 3208