What is the Greatest Common Factor of 23268 and 23280?

Greatest common factor (GCF) of 23268 and 23280 is 12.

GCF(23268,23280) = 12

We will now calculate the prime factors of 23268 and 23280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23268 and 23280.

How to find the GCF of 23268 and 23280?

We will first find the prime factorization of 23268 and 23280. After we will calculate the factors of 23268 and 23280 and find the biggest common factor number .

Step-1: Prime Factorization of 23268

Prime factors of 23268 are 2, 3, 7, 277. Prime factorization of 23268 in exponential form is:

23268 = 2² × 3¹ × 7¹ × 277¹

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 23268

List of positive integer factors of 23268 that divides 23268 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 277, 554, 831, 1108, 1662, 1939, 3324, 3878, 5817, 7756, 11634

Step-4: Factors of 23280

List of positive integer factors of 23280 that divides 23268 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 23268 and 23280. The biggest common factor number is the GCF number.
So the greatest common factor 23268 and 23280 is 12.

Also check out the Least Common Multiple of 23268 and 23280