What is the Greatest Common Factor of 36837 and 36849?

Greatest common factor (GCF) of 36837 and 36849 is 3.

GCF(36837,36849) = 3

We will now calculate the prime factors of 36837 and 36849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36837 and 36849.

How to find the GCF of 36837 and 36849?

We will first find the prime factorization of 36837 and 36849. After we will calculate the factors of 36837 and 36849 and find the biggest common factor number .

Step-1: Prime Factorization of 36837

Prime factors of 36837 are 3, 4093. Prime factorization of 36837 in exponential form is:

36837 = 3² × 4093¹

Step-2: Prime Factorization of 36849

Prime factors of 36849 are 3, 71, 173. Prime factorization of 36849 in exponential form is:

36849 = 3¹ × 71¹ × 173¹

Step-3: Factors of 36837

List of positive integer factors of 36837 that divides 36837 without a remainder.

1, 3, 9, 4093, 12279

Step-4: Factors of 36849

List of positive integer factors of 36849 that divides 36837 without a remainder.

1, 3, 71, 173, 213, 519, 12283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36837 and 36849. The biggest common factor number is the GCF number.
So the greatest common factor 36837 and 36849 is 3.

Also check out the Least Common Multiple of 36837 and 36849