What is the Greatest Common Factor of 23267 and 23280?

Greatest common factor (GCF) of 23267 and 23280 is 1.

GCF(23267,23280) = 1

We will now calculate the prime factors of 23267 and 23280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23267 and 23280.

How to find the GCF of 23267 and 23280?

We will first find the prime factorization of 23267 and 23280. After we will calculate the factors of 23267 and 23280 and find the biggest common factor number .

Step-1: Prime Factorization of 23267

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

23267 = 53¹ × 439¹

Step-2: Prime Factorization of 23280

Prime factors of 23280 are 2, 3, 5, 97. Prime factorization of 23280 in exponential form is:

23280 = 2⁴ × 3¹ × 5¹ × 97¹

Step-3: Factors of 23267

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

1, 53, 439

Step-4: Factors of 23280

List of positive integer factors of 23280 that divides 23267 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 97, 120, 194, 240, 291, 388, 485, 582, 776, 970, 1164, 1455, 1552, 1940, 2328, 2910, 3880, 4656, 5820, 7760, 11640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23267 and 23280. The biggest common factor number is the GCF number.
So the greatest common factor 23267 and 23280 is 1.

Also check out the Least Common Multiple of 23267 and 23280