What is the Greatest Common Factor of 24330 and 24345?

Greatest common factor (GCF) of 24330 and 24345 is 15.

GCF(24330,24345) = 15

We will now calculate the prime factors of 24330 and 24345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24330 and 24345.

How to find the GCF of 24330 and 24345?

We will first find the prime factorization of 24330 and 24345. After we will calculate the factors of 24330 and 24345 and find the biggest common factor number .

Step-1: Prime Factorization of 24330

Prime factors of 24330 are 2, 3, 5, 811. Prime factorization of 24330 in exponential form is:

24330 = 2¹ × 3¹ × 5¹ × 811¹

Step-2: Prime Factorization of 24345

Prime factors of 24345 are 3, 5, 541. Prime factorization of 24345 in exponential form is:

24345 = 3² × 5¹ × 541¹

Step-3: Factors of 24330

List of positive integer factors of 24330 that divides 24330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 811, 1622, 2433, 4055, 4866, 8110, 12165

Step-4: Factors of 24345

List of positive integer factors of 24345 that divides 24330 without a remainder.

1, 3, 5, 9, 15, 45, 541, 1623, 2705, 4869, 8115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24330 and 24345. The biggest common factor number is the GCF number.
So the greatest common factor 24330 and 24345 is 15.

Also check out the Least Common Multiple of 24330 and 24345