What is the Greatest Common Factor of 37109 and 37123?

Greatest common factor (GCF) of 37109 and 37123 is 1.

GCF(37109,37123) = 1

We will now calculate the prime factors of 37109 and 37123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37109 and 37123.

How to find the GCF of 37109 and 37123?

We will first find the prime factorization of 37109 and 37123. After we will calculate the factors of 37109 and 37123 and find the biggest common factor number .

Step-1: Prime Factorization of 37109

Prime factors of 37109 are 43, 863. Prime factorization of 37109 in exponential form is:

37109 = 43¹ × 863¹

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 37109

List of positive integer factors of 37109 that divides 37109 without a remainder.

1, 43, 863

Step-4: Factors of 37123

List of positive integer factors of 37123 that divides 37109 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37109 and 37123. The biggest common factor number is the GCF number.
So the greatest common factor 37109 and 37123 is 1.

Also check out the Least Common Multiple of 37109 and 37123