What is the Greatest Common Factor of 37806 and 37813?

Greatest common factor (GCF) of 37806 and 37813 is 1.

GCF(37806,37813) = 1

We will now calculate the prime factors of 37806 and 37813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37806 and 37813.

How to find the GCF of 37806 and 37813?

We will first find the prime factorization of 37806 and 37813. After we will calculate the factors of 37806 and 37813 and find the biggest common factor number .

Step-1: Prime Factorization of 37806

Prime factors of 37806 are 2, 3, 6301. Prime factorization of 37806 in exponential form is:

37806 = 2¹ × 3¹ × 6301¹

Step-2: Prime Factorization of 37813

Prime factors of 37813 are 37813. Prime factorization of 37813 in exponential form is:

37813 = 37813¹

Step-3: Factors of 37806

List of positive integer factors of 37806 that divides 37806 without a remainder.

1, 2, 3, 6, 6301, 12602, 18903

Step-4: Factors of 37813

List of positive integer factors of 37813 that divides 37806 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37806 and 37813. The biggest common factor number is the GCF number.
So the greatest common factor 37806 and 37813 is 1.

Also check out the Least Common Multiple of 37806 and 37813