What is the Greatest Common Factor of 37827 and 37836?

Greatest common factor (GCF) of 37827 and 37836 is 9.

GCF(37827,37836) = 9

We will now calculate the prime factors of 37827 and 37836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37827 and 37836.

How to find the GCF of 37827 and 37836?

We will first find the prime factorization of 37827 and 37836. After we will calculate the factors of 37827 and 37836 and find the biggest common factor number .

Step-1: Prime Factorization of 37827

Prime factors of 37827 are 3, 467. Prime factorization of 37827 in exponential form is:

37827 = 3⁴ × 467¹

Step-2: 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-3: Factors of 37827

List of positive integer factors of 37827 that divides 37827 without a remainder.

1, 3, 9, 27, 81, 467, 1401, 4203, 12609

Step-4: Factors of 37836

List of positive integer factors of 37836 that divides 37827 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37827 and 37836. The biggest common factor number is the GCF number.
So the greatest common factor 37827 and 37836 is 9.

Also check out the Least Common Multiple of 37827 and 37836