What is the Greatest Common Factor of 37809 and 37821?

Greatest common factor (GCF) of 37809 and 37821 is 3.

GCF(37809,37821) = 3

We will now calculate the prime factors of 37809 and 37821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37809 and 37821.

How to find the GCF of 37809 and 37821?

We will first find the prime factorization of 37809 and 37821. After we will calculate the factors of 37809 and 37821 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 37821

Prime factors of 37821 are 3, 7, 1801. Prime factorization of 37821 in exponential form is:

37821 = 3¹ × 7¹ × 1801¹

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 37821

List of positive integer factors of 37821 that divides 37809 without a remainder.

1, 3, 7, 21, 1801, 5403, 12607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37809 and 37821. The biggest common factor number is the GCF number.
So the greatest common factor 37809 and 37821 is 3.

Also check out the Least Common Multiple of 37809 and 37821