What is the Greatest Common Factor of 23148 and 23168?

Greatest common factor (GCF) of 23148 and 23168 is 4.

GCF(23148,23168) = 4

We will now calculate the prime factors of 23148 and 23168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23148 and 23168.

How to find the GCF of 23148 and 23168?

We will first find the prime factorization of 23148 and 23168. After we will calculate the factors of 23148 and 23168 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 23168

Prime factors of 23168 are 2, 181. Prime factorization of 23168 in exponential form is:

23168 = 2⁷ × 181¹

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 23168

List of positive integer factors of 23168 that divides 23148 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 181, 362, 724, 1448, 2896, 5792, 11584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23148 and 23168. The biggest common factor number is the GCF number.
So the greatest common factor 23148 and 23168 is 4.

Also check out the Least Common Multiple of 23148 and 23168