What is the Greatest Common Factor of 3204 and 3219?

Greatest common factor (GCF) of 3204 and 3219 is 3.

GCF(3204,3219) = 3

We will now calculate the prime factors of 3204 and 3219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3204 and 3219.

How to find the GCF of 3204 and 3219?

We will first find the prime factorization of 3204 and 3219. After we will calculate the factors of 3204 and 3219 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 3219

Prime factors of 3219 are 3, 29, 37. Prime factorization of 3219 in exponential form is:

3219 = 3¹ × 29¹ × 37¹

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 3219

List of positive integer factors of 3219 that divides 3204 without a remainder.

1, 3, 29, 37, 87, 111, 1073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3204 and 3219. The biggest common factor number is the GCF number.
So the greatest common factor 3204 and 3219 is 3.

Also check out the Least Common Multiple of 3204 and 3219