What is the Greatest Common Factor of 24330 and 24350?

Greatest common factor (GCF) of 24330 and 24350 is 10.

GCF(24330,24350) = 10

We will now calculate the prime factors of 24330 and 24350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24330 and 24350.

How to find the GCF of 24330 and 24350?

We will first find the prime factorization of 24330 and 24350. After we will calculate the factors of 24330 and 24350 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 24350

Prime factors of 24350 are 2, 5, 487. Prime factorization of 24350 in exponential form is:

24350 = 2¹ × 5² × 487¹

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 24350

List of positive integer factors of 24350 that divides 24330 without a remainder.

1, 2, 5, 10, 25, 50, 487, 974, 2435, 4870, 12175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24330 and 24350. The biggest common factor number is the GCF number.
So the greatest common factor 24330 and 24350 is 10.

Also check out the Least Common Multiple of 24330 and 24350