What is the Greatest Common Factor of 37167 and 37173?

Greatest common factor (GCF) of 37167 and 37173 is 3.

GCF(37167,37173) = 3

We will now calculate the prime factors of 37167 and 37173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37167 and 37173.

How to find the GCF of 37167 and 37173?

We will first find the prime factorization of 37167 and 37173. After we will calculate the factors of 37167 and 37173 and find the biggest common factor number .

Step-1: Prime Factorization of 37167

Prime factors of 37167 are 3, 13, 953. Prime factorization of 37167 in exponential form is:

37167 = 3¹ × 13¹ × 953¹

Step-2: Prime Factorization of 37173

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

37173 = 3¹ × 12391¹

Step-3: Factors of 37167

List of positive integer factors of 37167 that divides 37167 without a remainder.

1, 3, 13, 39, 953, 2859, 12389

Step-4: Factors of 37173

List of positive integer factors of 37173 that divides 37167 without a remainder.

1, 3, 12391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37167 and 37173. The biggest common factor number is the GCF number.
So the greatest common factor 37167 and 37173 is 3.

Also check out the Least Common Multiple of 37167 and 37173