What is the Greatest Common Factor of 37179 and 37185?

Greatest common factor (GCF) of 37179 and 37185 is 3.

GCF(37179,37185) = 3

We will now calculate the prime factors of 37179 and 37185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37179 and 37185.

How to find the GCF of 37179 and 37185?

We will first find the prime factorization of 37179 and 37185. After we will calculate the factors of 37179 and 37185 and find the biggest common factor number .

Step-1: Prime Factorization of 37179

Prime factors of 37179 are 3, 17. Prime factorization of 37179 in exponential form is:

37179 = 3⁷ × 17¹

Step-2: 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-3: Factors of 37179

List of positive integer factors of 37179 that divides 37179 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 729, 1377, 2187, 4131, 12393

Step-4: Factors of 37185

List of positive integer factors of 37185 that divides 37179 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37179 and 37185. The biggest common factor number is the GCF number.
So the greatest common factor 37179 and 37185 is 3.

Also check out the Least Common Multiple of 37179 and 37185