What is the Greatest Common Factor of 24331 and 24336?

Greatest common factor (GCF) of 24331 and 24336 is 1.

GCF(24331,24336) = 1

We will now calculate the prime factors of 24331 and 24336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24331 and 24336.

How to find the GCF of 24331 and 24336?

We will first find the prime factorization of 24331 and 24336. After we will calculate the factors of 24331 and 24336 and find the biggest common factor number .

Step-1: Prime Factorization of 24331

Prime factors of 24331 are 29, 839. Prime factorization of 24331 in exponential form is:

24331 = 29¹ × 839¹

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 24331

List of positive integer factors of 24331 that divides 24331 without a remainder.

1, 29, 839

Step-4: Factors of 24336

List of positive integer factors of 24336 that divides 24331 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 24331 and 24336. The biggest common factor number is the GCF number.
So the greatest common factor 24331 and 24336 is 1.

Also check out the Least Common Multiple of 24331 and 24336