What is the Greatest Common Factor of 23174 and 23182?

Greatest common factor (GCF) of 23174 and 23182 is 2.

GCF(23174,23182) = 2

We will now calculate the prime factors of 23174 and 23182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23174 and 23182.

How to find the GCF of 23174 and 23182?

We will first find the prime factorization of 23174 and 23182. After we will calculate the factors of 23174 and 23182 and find the biggest common factor number .

Step-1: Prime Factorization of 23174

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

23174 = 2¹ × 11587¹

Step-2: Prime Factorization of 23182

Prime factors of 23182 are 2, 67, 173. Prime factorization of 23182 in exponential form is:

23182 = 2¹ × 67¹ × 173¹

Step-3: Factors of 23174

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

1, 2, 11587

Step-4: Factors of 23182

List of positive integer factors of 23182 that divides 23174 without a remainder.

1, 2, 67, 134, 173, 346, 11591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23174 and 23182. The biggest common factor number is the GCF number.
So the greatest common factor 23174 and 23182 is 2.

Also check out the Least Common Multiple of 23174 and 23182