What is the Greatest Common Factor of 23248 and 23267?

Greatest common factor (GCF) of 23248 and 23267 is 1.

GCF(23248,23267) = 1

We will now calculate the prime factors of 23248 and 23267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23248 and 23267.

How to find the GCF of 23248 and 23267?

We will first find the prime factorization of 23248 and 23267. After we will calculate the factors of 23248 and 23267 and find the biggest common factor number .

Step-1: Prime Factorization of 23248

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

23248 = 2⁴ × 1453¹

Step-2: Prime Factorization of 23267

Prime factors of 23267 are 53, 439. Prime factorization of 23267 in exponential form is:

23267 = 53¹ × 439¹

Step-3: Factors of 23248

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

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

Step-4: Factors of 23267

List of positive integer factors of 23267 that divides 23248 without a remainder.

1, 53, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23248 and 23267. The biggest common factor number is the GCF number.
So the greatest common factor 23248 and 23267 is 1.

Also check out the Least Common Multiple of 23248 and 23267