What is the Greatest Common Factor of 36087 and 36099?

Greatest common factor (GCF) of 36087 and 36099 is 3.

GCF(36087,36099) = 3

We will now calculate the prime factors of 36087 and 36099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36087 and 36099.

How to find the GCF of 36087 and 36099?

We will first find the prime factorization of 36087 and 36099. After we will calculate the factors of 36087 and 36099 and find the biggest common factor number .

Step-1: Prime Factorization of 36087

Prime factors of 36087 are 3, 23, 523. Prime factorization of 36087 in exponential form is:

36087 = 3¹ × 23¹ × 523¹

Step-2: 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-3: Factors of 36087

List of positive integer factors of 36087 that divides 36087 without a remainder.

1, 3, 23, 69, 523, 1569, 12029

Step-4: Factors of 36099

List of positive integer factors of 36099 that divides 36087 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36087 and 36099. The biggest common factor number is the GCF number.
So the greatest common factor 36087 and 36099 is 3.

Also check out the Least Common Multiple of 36087 and 36099