What is the Greatest Common Factor of 37836 and 37854?

Greatest common factor (GCF) of 37836 and 37854 is 18.

GCF(37836,37854) = 18

We will now calculate the prime factors of 37836 and 37854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37836 and 37854.

How to find the GCF of 37836 and 37854?

We will first find the prime factorization of 37836 and 37854. After we will calculate the factors of 37836 and 37854 and find the biggest common factor number .

Step-1: Prime Factorization of 37836

Prime factors of 37836 are 2, 3, 1051. Prime factorization of 37836 in exponential form is:

37836 = 2² × 3² × 1051¹

Step-2: 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-3: Factors of 37836

List of positive integer factors of 37836 that divides 37836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1051, 2102, 3153, 4204, 6306, 9459, 12612, 18918

Step-4: Factors of 37854

List of positive integer factors of 37854 that divides 37836 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37836 and 37854. The biggest common factor number is the GCF number.
So the greatest common factor 37836 and 37854 is 18.

Also check out the Least Common Multiple of 37836 and 37854