What is the Greatest Common Factor of 23107 and 23111?

Greatest common factor (GCF) of 23107 and 23111 is 1.

GCF(23107,23111) = 1

We will now calculate the prime factors of 23107 and 23111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23107 and 23111.

How to find the GCF of 23107 and 23111?

We will first find the prime factorization of 23107 and 23111. After we will calculate the factors of 23107 and 23111 and find the biggest common factor number .

Step-1: Prime Factorization of 23107

Prime factors of 23107 are 7, 3301. Prime factorization of 23107 in exponential form is:

23107 = 7¹ × 3301¹

Step-2: Prime Factorization of 23111

Prime factors of 23111 are 11, 191. Prime factorization of 23111 in exponential form is:

23111 = 11² × 191¹

Step-3: Factors of 23107

List of positive integer factors of 23107 that divides 23107 without a remainder.

1, 7, 3301

Step-4: Factors of 23111

List of positive integer factors of 23111 that divides 23107 without a remainder.

1, 11, 121, 191, 2101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23107 and 23111. The biggest common factor number is the GCF number.
So the greatest common factor 23107 and 23111 is 1.

Also check out the Least Common Multiple of 23107 and 23111