What is the Greatest Common Factor of 24325 and 24330?

Greatest common factor (GCF) of 24325 and 24330 is 5.

GCF(24325,24330) = 5

We will now calculate the prime factors of 24325 and 24330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24325 and 24330.

How to find the GCF of 24325 and 24330?

We will first find the prime factorization of 24325 and 24330. After we will calculate the factors of 24325 and 24330 and find the biggest common factor number .

Step-1: Prime Factorization of 24325

Prime factors of 24325 are 5, 7, 139. Prime factorization of 24325 in exponential form is:

24325 = 5² × 7¹ × 139¹

Step-2: 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-3: Factors of 24325

List of positive integer factors of 24325 that divides 24325 without a remainder.

1, 5, 7, 25, 35, 139, 175, 695, 973, 3475, 4865

Step-4: Factors of 24330

List of positive integer factors of 24330 that divides 24325 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24325 and 24330. The biggest common factor number is the GCF number.
So the greatest common factor 24325 and 24330 is 5.

Also check out the Least Common Multiple of 24325 and 24330