What is the Greatest Common Factor of 24323 and 24336?

Greatest common factor (GCF) of 24323 and 24336 is 13.

GCF(24323,24336) = 13

We will now calculate the prime factors of 24323 and 24336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24323 and 24336.

How to find the GCF of 24323 and 24336?

We will first find the prime factorization of 24323 and 24336. After we will calculate the factors of 24323 and 24336 and find the biggest common factor number .

Step-1: Prime Factorization of 24323

Prime factors of 24323 are 13, 1871. Prime factorization of 24323 in exponential form is:

24323 = 13¹ × 1871¹

Step-2: Prime Factorization of 24336

Prime factors of 24336 are 2, 3, 13. Prime factorization of 24336 in exponential form is:

24336 = 2⁴ × 3² × 13²

Step-3: Factors of 24323

List of positive integer factors of 24323 that divides 24323 without a remainder.

1, 13, 1871

Step-4: Factors of 24336

List of positive integer factors of 24336 that divides 24323 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 169, 208, 234, 312, 338, 468, 507, 624, 676, 936, 1014, 1352, 1521, 1872, 2028, 2704, 3042, 4056, 6084, 8112, 12168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24323 and 24336. The biggest common factor number is the GCF number.
So the greatest common factor 24323 and 24336 is 13.

Also check out the Least Common Multiple of 24323 and 24336