What is the Greatest Common Factor of 36873 and 36891?

Greatest common factor (GCF) of 36873 and 36891 is 9.

GCF(36873,36891) = 9

We will now calculate the prime factors of 36873 and 36891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36873 and 36891.

How to find the GCF of 36873 and 36891?

We will first find the prime factorization of 36873 and 36891. After we will calculate the factors of 36873 and 36891 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36891

Prime factors of 36891 are 3, 4099. Prime factorization of 36891 in exponential form is:

36891 = 3² × 4099¹

Step-3: Factors of 36873

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

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

Step-4: Factors of 36891

List of positive integer factors of 36891 that divides 36873 without a remainder.

1, 3, 9, 4099, 12297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36873 and 36891. The biggest common factor number is the GCF number.
So the greatest common factor 36873 and 36891 is 9.

Also check out the Least Common Multiple of 36873 and 36891