What is the Greatest Common Factor of 36204 and 36219?

Greatest common factor (GCF) of 36204 and 36219 is 3.

GCF(36204,36219) = 3

We will now calculate the prime factors of 36204 and 36219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36204 and 36219.

How to find the GCF of 36204 and 36219?

We will first find the prime factorization of 36204 and 36219. After we will calculate the factors of 36204 and 36219 and find the biggest common factor number .

Step-1: Prime Factorization of 36204

Prime factors of 36204 are 2, 3, 7, 431. Prime factorization of 36204 in exponential form is:

36204 = 2² × 3¹ × 7¹ × 431¹

Step-2: Prime Factorization of 36219

Prime factors of 36219 are 3, 12073. Prime factorization of 36219 in exponential form is:

36219 = 3¹ × 12073¹

Step-3: Factors of 36204

List of positive integer factors of 36204 that divides 36204 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 431, 862, 1293, 1724, 2586, 3017, 5172, 6034, 9051, 12068, 18102

Step-4: Factors of 36219

List of positive integer factors of 36219 that divides 36204 without a remainder.

1, 3, 12073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36204 and 36219. The biggest common factor number is the GCF number.
So the greatest common factor 36204 and 36219 is 3.

Also check out the Least Common Multiple of 36204 and 36219