What is the Greatest Common Factor of 23242 and 23248?

Greatest common factor (GCF) of 23242 and 23248 is 2.

GCF(23242,23248) = 2

We will now calculate the prime factors of 23242 and 23248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23242 and 23248.

How to find the GCF of 23242 and 23248?

We will first find the prime factorization of 23242 and 23248. After we will calculate the factors of 23242 and 23248 and find the biggest common factor number .

Step-1: Prime Factorization of 23242

Prime factors of 23242 are 2, 11621. Prime factorization of 23242 in exponential form is:

23242 = 2¹ × 11621¹

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 23242

List of positive integer factors of 23242 that divides 23242 without a remainder.

1, 2, 11621

Step-4: Factors of 23248

List of positive integer factors of 23248 that divides 23242 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 23242 and 23248. The biggest common factor number is the GCF number.
So the greatest common factor 23242 and 23248 is 2.

Also check out the Least Common Multiple of 23242 and 23248