What is the Greatest Common Factor of 23244 and 23256?

Greatest common factor (GCF) of 23244 and 23256 is 12.

GCF(23244,23256) = 12

We will now calculate the prime factors of 23244 and 23256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23244 and 23256.

How to find the GCF of 23244 and 23256?

We will first find the prime factorization of 23244 and 23256. After we will calculate the factors of 23244 and 23256 and find the biggest common factor number .

Step-1: Prime Factorization of 23244

Prime factors of 23244 are 2, 3, 13, 149. Prime factorization of 23244 in exponential form is:

23244 = 2² × 3¹ × 13¹ × 149¹

Step-2: Prime Factorization of 23256

Prime factors of 23256 are 2, 3, 17, 19. Prime factorization of 23256 in exponential form is:

23256 = 2³ × 3² × 17¹ × 19¹

Step-3: Factors of 23244

List of positive integer factors of 23244 that divides 23244 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 149, 156, 298, 447, 596, 894, 1788, 1937, 3874, 5811, 7748, 11622

Step-4: Factors of 23256

List of positive integer factors of 23256 that divides 23244 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 19, 24, 34, 36, 38, 51, 57, 68, 72, 76, 102, 114, 136, 152, 153, 171, 204, 228, 306, 323, 342, 408, 456, 612, 646, 684, 969, 1224, 1292, 1368, 1938, 2584, 2907, 3876, 5814, 7752, 11628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23244 and 23256. The biggest common factor number is the GCF number.
So the greatest common factor 23244 and 23256 is 12.

Also check out the Least Common Multiple of 23244 and 23256