What is the Greatest Common Factor of 36873 and 36879?

Greatest common factor (GCF) of 36873 and 36879 is 3.

GCF(36873,36879) = 3

We will now calculate the prime factors of 36873 and 36879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36873 and 36879.

How to find the GCF of 36873 and 36879?

We will first find the prime factorization of 36873 and 36879. After we will calculate the factors of 36873 and 36879 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 36879

Prime factors of 36879 are 3, 19, 647. Prime factorization of 36879 in exponential form is:

36879 = 3¹ × 19¹ × 647¹

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 36879

List of positive integer factors of 36879 that divides 36873 without a remainder.

1, 3, 19, 57, 647, 1941, 12293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36873 and 36879. The biggest common factor number is the GCF number.
So the greatest common factor 36873 and 36879 is 3.

Also check out the Least Common Multiple of 36873 and 36879