What is the Greatest Common Factor of 37809 and 37815?

Greatest common factor (GCF) of 37809 and 37815 is 3.

GCF(37809,37815) = 3

We will now calculate the prime factors of 37809 and 37815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37809 and 37815.

How to find the GCF of 37809 and 37815?

We will first find the prime factorization of 37809 and 37815. After we will calculate the factors of 37809 and 37815 and find the biggest common factor number .

Step-1: Prime Factorization of 37809

Prime factors of 37809 are 3, 4201. Prime factorization of 37809 in exponential form is:

37809 = 3² × 4201¹

Step-2: Prime Factorization of 37815

Prime factors of 37815 are 3, 5, 2521. Prime factorization of 37815 in exponential form is:

37815 = 3¹ × 5¹ × 2521¹

Step-3: Factors of 37809

List of positive integer factors of 37809 that divides 37809 without a remainder.

1, 3, 9, 4201, 12603

Step-4: Factors of 37815

List of positive integer factors of 37815 that divides 37809 without a remainder.

1, 3, 5, 15, 2521, 7563, 12605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37809 and 37815. The biggest common factor number is the GCF number.
So the greatest common factor 37809 and 37815 is 3.

Also check out the Least Common Multiple of 37809 and 37815