What is the Greatest Common Factor of 23148 and 23165?

Greatest common factor (GCF) of 23148 and 23165 is 1.

GCF(23148,23165) = 1

We will now calculate the prime factors of 23148 and 23165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23148 and 23165.

How to find the GCF of 23148 and 23165?

We will first find the prime factorization of 23148 and 23165. After we will calculate the factors of 23148 and 23165 and find the biggest common factor number .

Step-1: Prime Factorization of 23148

Prime factors of 23148 are 2, 3, 643. Prime factorization of 23148 in exponential form is:

23148 = 2² × 3² × 643¹

Step-2: Prime Factorization of 23165

Prime factors of 23165 are 5, 41, 113. Prime factorization of 23165 in exponential form is:

23165 = 5¹ × 41¹ × 113¹

Step-3: Factors of 23148

List of positive integer factors of 23148 that divides 23148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 643, 1286, 1929, 2572, 3858, 5787, 7716, 11574

Step-4: Factors of 23165

List of positive integer factors of 23165 that divides 23148 without a remainder.

1, 5, 41, 113, 205, 565, 4633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23148 and 23165. The biggest common factor number is the GCF number.
So the greatest common factor 23148 and 23165 is 1.

Also check out the Least Common Multiple of 23148 and 23165