What is the Greatest Common Factor of 37173 and 37191?

Greatest common factor (GCF) of 37173 and 37191 is 3.

GCF(37173,37191) = 3

We will now calculate the prime factors of 37173 and 37191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37173 and 37191.

How to find the GCF of 37173 and 37191?

We will first find the prime factorization of 37173 and 37191. After we will calculate the factors of 37173 and 37191 and find the biggest common factor number .

Step-1: Prime Factorization of 37173

Prime factors of 37173 are 3, 12391. Prime factorization of 37173 in exponential form is:

37173 = 3¹ × 12391¹

Step-2: Prime Factorization of 37191

Prime factors of 37191 are 3, 7, 11, 23. Prime factorization of 37191 in exponential form is:

37191 = 3¹ × 7² × 11¹ × 23¹

Step-3: Factors of 37173

List of positive integer factors of 37173 that divides 37173 without a remainder.

1, 3, 12391

Step-4: Factors of 37191

List of positive integer factors of 37191 that divides 37173 without a remainder.

1, 3, 7, 11, 21, 23, 33, 49, 69, 77, 147, 161, 231, 253, 483, 539, 759, 1127, 1617, 1771, 3381, 5313, 12397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37173 and 37191. The biggest common factor number is the GCF number.
So the greatest common factor 37173 and 37191 is 3.

Also check out the Least Common Multiple of 37173 and 37191