What is the Greatest Common Factor of 23280 and 23292?

Greatest common factor (GCF) of 23280 and 23292 is 12.

GCF(23280,23292) = 12

We will now calculate the prime factors of 23280 and 23292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23280 and 23292.

How to find the GCF of 23280 and 23292?

We will first find the prime factorization of 23280 and 23292. After we will calculate the factors of 23280 and 23292 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 23292

Prime factors of 23292 are 2, 3, 647. Prime factorization of 23292 in exponential form is:

23292 = 2² × 3² × 647¹

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 23292

List of positive integer factors of 23292 that divides 23280 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 647, 1294, 1941, 2588, 3882, 5823, 7764, 11646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23280 and 23292. The biggest common factor number is the GCF number.
So the greatest common factor 23280 and 23292 is 12.

Also check out the Least Common Multiple of 23280 and 23292