What is the Greatest Common Factor of 37854 and 37866?

Greatest common factor (GCF) of 37854 and 37866 is 6.

GCF(37854,37866) = 6

We will now calculate the prime factors of 37854 and 37866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37854 and 37866.

How to find the GCF of 37854 and 37866?

We will first find the prime factorization of 37854 and 37866. After we will calculate the factors of 37854 and 37866 and find the biggest common factor number .

Step-1: Prime Factorization of 37854

Prime factors of 37854 are 2, 3, 701. Prime factorization of 37854 in exponential form is:

37854 = 2¹ × 3³ × 701¹

Step-2: 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-3: Factors of 37854

List of positive integer factors of 37854 that divides 37854 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 701, 1402, 2103, 4206, 6309, 12618, 18927

Step-4: Factors of 37866

List of positive integer factors of 37866 that divides 37854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37854 and 37866. The biggest common factor number is the GCF number.
So the greatest common factor 37854 and 37866 is 6.

Also check out the Least Common Multiple of 37854 and 37866