What is the Greatest Common Factor of 23234 and 23248?

Greatest common factor (GCF) of 23234 and 23248 is 2.

GCF(23234,23248) = 2

We will now calculate the prime factors of 23234 and 23248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23234 and 23248.

How to find the GCF of 23234 and 23248?

We will first find the prime factorization of 23234 and 23248. After we will calculate the factors of 23234 and 23248 and find the biggest common factor number .

Step-1: Prime Factorization of 23234

Prime factors of 23234 are 2, 11617. Prime factorization of 23234 in exponential form is:

23234 = 2¹ × 11617¹

Step-2: Prime Factorization of 23248

Prime factors of 23248 are 2, 1453. Prime factorization of 23248 in exponential form is:

23248 = 2⁴ × 1453¹

Step-3: Factors of 23234

List of positive integer factors of 23234 that divides 23234 without a remainder.

1, 2, 11617

Step-4: Factors of 23248

List of positive integer factors of 23248 that divides 23234 without a remainder.

1, 2, 4, 8, 16, 1453, 2906, 5812, 11624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23234 and 23248. The biggest common factor number is the GCF number.
So the greatest common factor 23234 and 23248 is 2.

Also check out the Least Common Multiple of 23234 and 23248