What is the Greatest Common Factor of 37185 and 37194?

Greatest common factor (GCF) of 37185 and 37194 is 3.

GCF(37185,37194) = 3

We will now calculate the prime factors of 37185 and 37194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37185 and 37194.

How to find the GCF of 37185 and 37194?

We will first find the prime factorization of 37185 and 37194. After we will calculate the factors of 37185 and 37194 and find the biggest common factor number .

Step-1: Prime Factorization of 37185

Prime factors of 37185 are 3, 5, 37, 67. Prime factorization of 37185 in exponential form is:

37185 = 3¹ × 5¹ × 37¹ × 67¹

Step-2: Prime Factorization of 37194

Prime factors of 37194 are 2, 3, 6199. Prime factorization of 37194 in exponential form is:

37194 = 2¹ × 3¹ × 6199¹

Step-3: Factors of 37185

List of positive integer factors of 37185 that divides 37185 without a remainder.

1, 3, 5, 15, 37, 67, 111, 185, 201, 335, 555, 1005, 2479, 7437, 12395

Step-4: Factors of 37194

List of positive integer factors of 37194 that divides 37185 without a remainder.

1, 2, 3, 6, 6199, 12398, 18597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37185 and 37194. The biggest common factor number is the GCF number.
So the greatest common factor 37185 and 37194 is 3.

Also check out the Least Common Multiple of 37185 and 37194