What is the Greatest Common Factor of 36867 and 36885?

Greatest common factor (GCF) of 36867 and 36885 is 3.

GCF(36867,36885) = 3

We will now calculate the prime factors of 36867 and 36885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36867 and 36885.

How to find the GCF of 36867 and 36885?

We will first find the prime factorization of 36867 and 36885. After we will calculate the factors of 36867 and 36885 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 36885

Prime factors of 36885 are 3, 5, 2459. Prime factorization of 36885 in exponential form is:

36885 = 3¹ × 5¹ × 2459¹

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 36885

List of positive integer factors of 36885 that divides 36867 without a remainder.

1, 3, 5, 15, 2459, 7377, 12295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36867 and 36885. The biggest common factor number is the GCF number.
So the greatest common factor 36867 and 36885 is 3.

Also check out the Least Common Multiple of 36867 and 36885