What is the Greatest Common Factor of 36867 and 36873?

Greatest common factor (GCF) of 36867 and 36873 is 3.

GCF(36867,36873) = 3

We will now calculate the prime factors of 36867 and 36873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36867 and 36873.

How to find the GCF of 36867 and 36873?

We will first find the prime factorization of 36867 and 36873. After we will calculate the factors of 36867 and 36873 and find the biggest common factor number .

Step-1: Prime Factorization of 36867

Prime factors of 36867 are 3, 12289. Prime factorization of 36867 in exponential form is:

36867 = 3¹ × 12289¹

Step-2: Prime Factorization of 36873

Prime factors of 36873 are 3, 17, 241. Prime factorization of 36873 in exponential form is:

36873 = 3² × 17¹ × 241¹

Step-3: Factors of 36867

List of positive integer factors of 36867 that divides 36867 without a remainder.

1, 3, 12289

Step-4: Factors of 36873

List of positive integer factors of 36873 that divides 36867 without a remainder.

1, 3, 9, 17, 51, 153, 241, 723, 2169, 4097, 12291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36867 and 36873. The biggest common factor number is the GCF number.
So the greatest common factor 36867 and 36873 is 3.

Also check out the Least Common Multiple of 36867 and 36873