What is the Greatest Common Factor of 23280 and 23295?

Greatest common factor (GCF) of 23280 and 23295 is 15.

GCF(23280,23295) = 15

We will now calculate the prime factors of 23280 and 23295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23280 and 23295.

How to find the GCF of 23280 and 23295?

We will first find the prime factorization of 23280 and 23295. After we will calculate the factors of 23280 and 23295 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23295

Prime factors of 23295 are 3, 5, 1553. Prime factorization of 23295 in exponential form is:

23295 = 3¹ × 5¹ × 1553¹

Step-3: Factors of 23280

List of positive integer factors of 23280 that divides 23280 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

Step-4: Factors of 23295

List of positive integer factors of 23295 that divides 23280 without a remainder.

1, 3, 5, 15, 1553, 4659, 7765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23280 and 23295. The biggest common factor number is the GCF number.
So the greatest common factor 23280 and 23295 is 15.

Also check out the Least Common Multiple of 23280 and 23295