What is the Greatest Common Factor of 36849 and 36867?

Greatest common factor (GCF) of 36849 and 36867 is 3.

GCF(36849,36867) = 3

We will now calculate the prime factors of 36849 and 36867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36849 and 36867.

How to find the GCF of 36849 and 36867?

We will first find the prime factorization of 36849 and 36867. After we will calculate the factors of 36849 and 36867 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36867

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

36867 = 3¹ × 12289¹

Step-3: Factors of 36849

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

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

Step-4: Factors of 36867

List of positive integer factors of 36867 that divides 36849 without a remainder.

1, 3, 12289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36849 and 36867. The biggest common factor number is the GCF number.
So the greatest common factor 36849 and 36867 is 3.

Also check out the Least Common Multiple of 36849 and 36867