What is the Greatest Common Factor of 37893 and 37911?

Greatest common factor (GCF) of 37893 and 37911 is 3.

GCF(37893,37911) = 3

We will now calculate the prime factors of 37893 and 37911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37893 and 37911.

How to find the GCF of 37893 and 37911?

We will first find the prime factorization of 37893 and 37911. After we will calculate the factors of 37893 and 37911 and find the biggest common factor number .

Step-1: Prime Factorization of 37893

Prime factors of 37893 are 3, 17, 743. Prime factorization of 37893 in exponential form is:

37893 = 3¹ × 17¹ × 743¹

Step-2: Prime Factorization of 37911

Prime factors of 37911 are 3, 12637. Prime factorization of 37911 in exponential form is:

37911 = 3¹ × 12637¹

Step-3: Factors of 37893

List of positive integer factors of 37893 that divides 37893 without a remainder.

1, 3, 17, 51, 743, 2229, 12631

Step-4: Factors of 37911

List of positive integer factors of 37911 that divides 37893 without a remainder.

1, 3, 12637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37893 and 37911. The biggest common factor number is the GCF number.
So the greatest common factor 37893 and 37911 is 3.

Also check out the Least Common Multiple of 37893 and 37911