What is the Greatest Common Factor of 23248 and 23265?

Greatest common factor (GCF) of 23248 and 23265 is 1.

GCF(23248,23265) = 1

We will now calculate the prime factors of 23248 and 23265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23248 and 23265.

How to find the GCF of 23248 and 23265?

We will first find the prime factorization of 23248 and 23265. After we will calculate the factors of 23248 and 23265 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 23265

Prime factors of 23265 are 3, 5, 11, 47. Prime factorization of 23265 in exponential form is:

23265 = 3² × 5¹ × 11¹ × 47¹

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 23265

List of positive integer factors of 23265 that divides 23248 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 47, 55, 99, 141, 165, 235, 423, 495, 517, 705, 1551, 2115, 2585, 4653, 7755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23248 and 23265. The biggest common factor number is the GCF number.
So the greatest common factor 23248 and 23265 is 1.

Also check out the Least Common Multiple of 23248 and 23265