What is the Greatest Common Factor of 36207 and 36216?

Greatest common factor (GCF) of 36207 and 36216 is 9.

GCF(36207,36216) = 9

We will now calculate the prime factors of 36207 and 36216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36207 and 36216.

How to find the GCF of 36207 and 36216?

We will first find the prime factorization of 36207 and 36216. After we will calculate the factors of 36207 and 36216 and find the biggest common factor number .

Step-1: Prime Factorization of 36207

Prime factors of 36207 are 3, 149. Prime factorization of 36207 in exponential form is:

36207 = 3⁵ × 149¹

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 36207

List of positive integer factors of 36207 that divides 36207 without a remainder.

1, 3, 9, 27, 81, 149, 243, 447, 1341, 4023, 12069

Step-4: Factors of 36216

List of positive integer factors of 36216 that divides 36207 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 36207 and 36216. The biggest common factor number is the GCF number.
So the greatest common factor 36207 and 36216 is 9.

Also check out the Least Common Multiple of 36207 and 36216