What is the Greatest Common Factor of 37089 and 37105?

Greatest common factor (GCF) of 37089 and 37105 is 1.

GCF(37089,37105) = 1

We will now calculate the prime factors of 37089 and 37105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37089 and 37105.

How to find the GCF of 37089 and 37105?

We will first find the prime factorization of 37089 and 37105. After we will calculate the factors of 37089 and 37105 and find the biggest common factor number .

Step-1: Prime Factorization of 37089

Prime factors of 37089 are 3, 13, 317. Prime factorization of 37089 in exponential form is:

37089 = 3² × 13¹ × 317¹

Step-2: Prime Factorization of 37105

Prime factors of 37105 are 5, 41, 181. Prime factorization of 37105 in exponential form is:

37105 = 5¹ × 41¹ × 181¹

Step-3: Factors of 37089

List of positive integer factors of 37089 that divides 37089 without a remainder.

1, 3, 9, 13, 39, 117, 317, 951, 2853, 4121, 12363

Step-4: Factors of 37105

List of positive integer factors of 37105 that divides 37089 without a remainder.

1, 5, 41, 181, 205, 905, 7421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37089 and 37105. The biggest common factor number is the GCF number.
So the greatest common factor 37089 and 37105 is 1.

Also check out the Least Common Multiple of 37089 and 37105