What is the Greatest Common Factor of 36868 and 36881?

Greatest common factor (GCF) of 36868 and 36881 is 13.

GCF(36868,36881) = 13

We will now calculate the prime factors of 36868 and 36881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36868 and 36881.

How to find the GCF of 36868 and 36881?

We will first find the prime factorization of 36868 and 36881. After we will calculate the factors of 36868 and 36881 and find the biggest common factor number .

Step-1: Prime Factorization of 36868

Prime factors of 36868 are 2, 13, 709. Prime factorization of 36868 in exponential form is:

36868 = 2² × 13¹ × 709¹

Step-2: Prime Factorization of 36881

Prime factors of 36881 are 13, 2837. Prime factorization of 36881 in exponential form is:

36881 = 13¹ × 2837¹

Step-3: Factors of 36868

List of positive integer factors of 36868 that divides 36868 without a remainder.

1, 2, 4, 13, 26, 52, 709, 1418, 2836, 9217, 18434

Step-4: Factors of 36881

List of positive integer factors of 36881 that divides 36868 without a remainder.

1, 13, 2837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36868 and 36881. The biggest common factor number is the GCF number.
So the greatest common factor 36868 and 36881 is 13.

Also check out the Least Common Multiple of 36868 and 36881