What is the Greatest Common Factor of 24336 and 24347?

Greatest common factor (GCF) of 24336 and 24347 is 1.

GCF(24336,24347) = 1

We will now calculate the prime factors of 24336 and 24347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24336 and 24347.

How to find the GCF of 24336 and 24347?

We will first find the prime factorization of 24336 and 24347. After we will calculate the factors of 24336 and 24347 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 24347

Prime factors of 24347 are 97, 251. Prime factorization of 24347 in exponential form is:

24347 = 97¹ × 251¹

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 24347

List of positive integer factors of 24347 that divides 24336 without a remainder.

1, 97, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24336 and 24347. The biggest common factor number is the GCF number.
So the greatest common factor 24336 and 24347 is 1.

Also check out the Least Common Multiple of 24336 and 24347