What is the Greatest Common Factor of 36099 and 36111?

Greatest common factor (GCF) of 36099 and 36111 is 3.

GCF(36099,36111) = 3

We will now calculate the prime factors of 36099 and 36111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36099 and 36111.

How to find the GCF of 36099 and 36111?

We will first find the prime factorization of 36099 and 36111. After we will calculate the factors of 36099 and 36111 and find the biggest common factor number .

Step-1: Prime Factorization of 36099

Prime factors of 36099 are 3, 7, 191. Prime factorization of 36099 in exponential form is:

36099 = 3³ × 7¹ × 191¹

Step-2: Prime Factorization of 36111

Prime factors of 36111 are 3, 12037. Prime factorization of 36111 in exponential form is:

36111 = 3¹ × 12037¹

Step-3: Factors of 36099

List of positive integer factors of 36099 that divides 36099 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 191, 573, 1337, 1719, 4011, 5157, 12033

Step-4: Factors of 36111

List of positive integer factors of 36111 that divides 36099 without a remainder.

1, 3, 12037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36099 and 36111. The biggest common factor number is the GCF number.
So the greatest common factor 36099 and 36111 is 3.

Also check out the Least Common Multiple of 36099 and 36111