What is the Greatest Common Factor of 23238 and 23256?

Greatest common factor (GCF) of 23238 and 23256 is 18.

GCF(23238,23256) = 18

We will now calculate the prime factors of 23238 and 23256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23238 and 23256.

How to find the GCF of 23238 and 23256?

We will first find the prime factorization of 23238 and 23256. After we will calculate the factors of 23238 and 23256 and find the biggest common factor number .

Step-1: Prime Factorization of 23238

Prime factors of 23238 are 2, 3, 1291. Prime factorization of 23238 in exponential form is:

23238 = 2¹ × 3² × 1291¹

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 23238

List of positive integer factors of 23238 that divides 23238 without a remainder.

1, 2, 3, 6, 9, 18, 1291, 2582, 3873, 7746, 11619

Step-4: Factors of 23256

List of positive integer factors of 23256 that divides 23238 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 23238 and 23256. The biggest common factor number is the GCF number.
So the greatest common factor 23238 and 23256 is 18.

Also check out the Least Common Multiple of 23238 and 23256