What is the Greatest Common Factor of 23104 and 23123?

Greatest common factor (GCF) of 23104 and 23123 is 19.

GCF(23104,23123) = 19

We will now calculate the prime factors of 23104 and 23123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23104 and 23123.

How to find the GCF of 23104 and 23123?

We will first find the prime factorization of 23104 and 23123. After we will calculate the factors of 23104 and 23123 and find the biggest common factor number .

Step-1: Prime Factorization of 23104

Prime factors of 23104 are 2, 19. Prime factorization of 23104 in exponential form is:

23104 = 2⁶ × 19²

Step-2: Prime Factorization of 23123

Prime factors of 23123 are 19, 1217. Prime factorization of 23123 in exponential form is:

23123 = 19¹ × 1217¹

Step-3: Factors of 23104

List of positive integer factors of 23104 that divides 23104 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 361, 608, 722, 1216, 1444, 2888, 5776, 11552

Step-4: Factors of 23123

List of positive integer factors of 23123 that divides 23104 without a remainder.

1, 19, 1217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23104 and 23123. The biggest common factor number is the GCF number.
So the greatest common factor 23104 and 23123 is 19.

Also check out the Least Common Multiple of 23104 and 23123