What is the Greatest Common Factor of 37105 and 37118?

Greatest common factor (GCF) of 37105 and 37118 is 1.

GCF(37105,37118) = 1

We will now calculate the prime factors of 37105 and 37118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37105 and 37118.

How to find the GCF of 37105 and 37118?

We will first find the prime factorization of 37105 and 37118. After we will calculate the factors of 37105 and 37118 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 37118

Prime factors of 37118 are 2, 67, 277. Prime factorization of 37118 in exponential form is:

37118 = 2¹ × 67¹ × 277¹

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 37118

List of positive integer factors of 37118 that divides 37105 without a remainder.

1, 2, 67, 134, 277, 554, 18559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37105 and 37118. The biggest common factor number is the GCF number.
So the greatest common factor 37105 and 37118 is 1.

Also check out the Least Common Multiple of 37105 and 37118