What is the Greatest Common Factor of 37866 and 37871?

Greatest common factor (GCF) of 37866 and 37871 is 1.

GCF(37866,37871) = 1

We will now calculate the prime factors of 37866 and 37871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37866 and 37871.

How to find the GCF of 37866 and 37871?

We will first find the prime factorization of 37866 and 37871. After we will calculate the factors of 37866 and 37871 and find the biggest common factor number .

Step-1: Prime Factorization of 37866

Prime factors of 37866 are 2, 3, 6311. Prime factorization of 37866 in exponential form is:

37866 = 2¹ × 3¹ × 6311¹

Step-2: Prime Factorization of 37871

Prime factors of 37871 are 37871. Prime factorization of 37871 in exponential form is:

37871 = 37871¹

Step-3: Factors of 37866

List of positive integer factors of 37866 that divides 37866 without a remainder.

1, 2, 3, 6, 6311, 12622, 18933

Step-4: Factors of 37871

List of positive integer factors of 37871 that divides 37866 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37866 and 37871. The biggest common factor number is the GCF number.
So the greatest common factor 37866 and 37871 is 1.

Also check out the Least Common Multiple of 37866 and 37871