What is the Greatest Common Factor of 37105 and 37116?

Greatest common factor (GCF) of 37105 and 37116 is 1.

GCF(37105,37116) = 1

We will now calculate the prime factors of 37105 and 37116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37105 and 37116.

How to find the GCF of 37105 and 37116?

We will first find the prime factorization of 37105 and 37116. After we will calculate the factors of 37105 and 37116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37116

Prime factors of 37116 are 2, 3, 1031. Prime factorization of 37116 in exponential form is:

37116 = 2² × 3² × 1031¹

Step-3: Factors of 37105

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

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

Step-4: Factors of 37116

List of positive integer factors of 37116 that divides 37105 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1031, 2062, 3093, 4124, 6186, 9279, 12372, 18558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37105 and 37116. The biggest common factor number is the GCF number.
So the greatest common factor 37105 and 37116 is 1.

Also check out the Least Common Multiple of 37105 and 37116