What is the Greatest Common Factor of 24336 and 24342?

Greatest common factor (GCF) of 24336 and 24342 is 6.

GCF(24336,24342) = 6

We will now calculate the prime factors of 24336 and 24342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24336 and 24342.

How to find the GCF of 24336 and 24342?

We will first find the prime factorization of 24336 and 24342. After we will calculate the factors of 24336 and 24342 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 24342

Prime factors of 24342 are 2, 3, 4057. Prime factorization of 24342 in exponential form is:

24342 = 2¹ × 3¹ × 4057¹

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 24342

List of positive integer factors of 24342 that divides 24336 without a remainder.

1, 2, 3, 6, 4057, 8114, 12171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24336 and 24342. The biggest common factor number is the GCF number.
So the greatest common factor 24336 and 24342 is 6.

Also check out the Least Common Multiple of 24336 and 24342