What is the Greatest Common Factor of 23163 and 23174?

Greatest common factor (GCF) of 23163 and 23174 is 1.

GCF(23163,23174) = 1

We will now calculate the prime factors of 23163 and 23174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23163 and 23174.

How to find the GCF of 23163 and 23174?

We will first find the prime factorization of 23163 and 23174. After we will calculate the factors of 23163 and 23174 and find the biggest common factor number .

Step-1: Prime Factorization of 23163

Prime factors of 23163 are 3, 7, 1103. Prime factorization of 23163 in exponential form is:

23163 = 3¹ × 7¹ × 1103¹

Step-2: Prime Factorization of 23174

Prime factors of 23174 are 2, 11587. Prime factorization of 23174 in exponential form is:

23174 = 2¹ × 11587¹

Step-3: Factors of 23163

List of positive integer factors of 23163 that divides 23163 without a remainder.

1, 3, 7, 21, 1103, 3309, 7721

Step-4: Factors of 23174

List of positive integer factors of 23174 that divides 23163 without a remainder.

1, 2, 11587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23163 and 23174. The biggest common factor number is the GCF number.
So the greatest common factor 23163 and 23174 is 1.

Also check out the Least Common Multiple of 23163 and 23174