What is the Greatest Common Factor of 36204 and 36216?

Greatest common factor (GCF) of 36204 and 36216 is 12.

GCF(36204,36216) = 12

We will now calculate the prime factors of 36204 and 36216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36204 and 36216.

How to find the GCF of 36204 and 36216?

We will first find the prime factorization of 36204 and 36216. After we will calculate the factors of 36204 and 36216 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 36216

Prime factors of 36216 are 2, 3, 503. Prime factorization of 36216 in exponential form is:

36216 = 2³ × 3² × 503¹

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 36216

List of positive integer factors of 36216 that divides 36204 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 503, 1006, 1509, 2012, 3018, 4024, 4527, 6036, 9054, 12072, 18108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36204 and 36216. The biggest common factor number is the GCF number.
So the greatest common factor 36204 and 36216 is 12.

Also check out the Least Common Multiple of 36204 and 36216