What is the Greatest Common Factor of 37188 and 37197?

Greatest common factor (GCF) of 37188 and 37197 is 9.

GCF(37188,37197) = 9

We will now calculate the prime factors of 37188 and 37197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37188 and 37197.

How to find the GCF of 37188 and 37197?

We will first find the prime factorization of 37188 and 37197. After we will calculate the factors of 37188 and 37197 and find the biggest common factor number .

Step-1: Prime Factorization of 37188

Prime factors of 37188 are 2, 3, 1033. Prime factorization of 37188 in exponential form is:

37188 = 2² × 3² × 1033¹

Step-2: Prime Factorization of 37197

Prime factors of 37197 are 3, 4133. Prime factorization of 37197 in exponential form is:

37197 = 3² × 4133¹

Step-3: Factors of 37188

List of positive integer factors of 37188 that divides 37188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1033, 2066, 3099, 4132, 6198, 9297, 12396, 18594

Step-4: Factors of 37197

List of positive integer factors of 37197 that divides 37188 without a remainder.

1, 3, 9, 4133, 12399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37188 and 37197. The biggest common factor number is the GCF number.
So the greatest common factor 37188 and 37197 is 9.

Also check out the Least Common Multiple of 37188 and 37197