What is the Greatest Common Factor of 24336 and 24340?

Greatest common factor (GCF) of 24336 and 24340 is 4.

GCF(24336,24340) = 4

We will now calculate the prime factors of 24336 and 24340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24336 and 24340.

How to find the GCF of 24336 and 24340?

We will first find the prime factorization of 24336 and 24340. After we will calculate the factors of 24336 and 24340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24340

Prime factors of 24340 are 2, 5, 1217. Prime factorization of 24340 in exponential form is:

24340 = 2² × 5¹ × 1217¹

Step-3: Factors of 24336

List of positive integer factors of 24336 that divides 24336 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

Step-4: Factors of 24340

List of positive integer factors of 24340 that divides 24336 without a remainder.

1, 2, 4, 5, 10, 20, 1217, 2434, 4868, 6085, 12170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24336 and 24340. The biggest common factor number is the GCF number.
So the greatest common factor 24336 and 24340 is 4.

Also check out the Least Common Multiple of 24336 and 24340