What is the Greatest Common Factor of 23239 and 23256?

Greatest common factor (GCF) of 23239 and 23256 is 17.

GCF(23239,23256) = 17

We will now calculate the prime factors of 23239 and 23256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23239 and 23256.

How to find the GCF of 23239 and 23256?

We will first find the prime factorization of 23239 and 23256. After we will calculate the factors of 23239 and 23256 and find the biggest common factor number .

Step-1: Prime Factorization of 23239

Prime factors of 23239 are 17, 1367. Prime factorization of 23239 in exponential form is:

23239 = 17¹ × 1367¹

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 23239

List of positive integer factors of 23239 that divides 23239 without a remainder.

1, 17, 1367

Step-4: Factors of 23256

List of positive integer factors of 23256 that divides 23239 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 23239 and 23256. The biggest common factor number is the GCF number.
So the greatest common factor 23239 and 23256 is 17.

Also check out the Least Common Multiple of 23239 and 23256