What is the Greatest Common Factor of 37108 and 37123?

Greatest common factor (GCF) of 37108 and 37123 is 1.

GCF(37108,37123) = 1

We will now calculate the prime factors of 37108 and 37123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37108 and 37123.

How to find the GCF of 37108 and 37123?

We will first find the prime factorization of 37108 and 37123. After we will calculate the factors of 37108 and 37123 and find the biggest common factor number .

Step-1: Prime Factorization of 37108

Prime factors of 37108 are 2, 9277. Prime factorization of 37108 in exponential form is:

37108 = 2² × 9277¹

Step-2: Prime Factorization of 37123

Prime factors of 37123 are 37123. Prime factorization of 37123 in exponential form is:

37123 = 37123¹

Step-3: Factors of 37108

List of positive integer factors of 37108 that divides 37108 without a remainder.

1, 2, 4, 9277, 18554

Step-4: Factors of 37123

List of positive integer factors of 37123 that divides 37108 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37108 and 37123. The biggest common factor number is the GCF number.
So the greatest common factor 37108 and 37123 is 1.

Also check out the Least Common Multiple of 37108 and 37123