What is the Greatest Common Factor of 24335 and 24350?

Greatest common factor (GCF) of 24335 and 24350 is 5.

GCF(24335,24350) = 5

We will now calculate the prime factors of 24335 and 24350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24335 and 24350.

How to find the GCF of 24335 and 24350?

We will first find the prime factorization of 24335 and 24350. After we will calculate the factors of 24335 and 24350 and find the biggest common factor number .

Step-1: Prime Factorization of 24335

Prime factors of 24335 are 5, 31, 157. Prime factorization of 24335 in exponential form is:

24335 = 5¹ × 31¹ × 157¹

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 24335

List of positive integer factors of 24335 that divides 24335 without a remainder.

1, 5, 31, 155, 157, 785, 4867

Step-4: Factors of 24350

List of positive integer factors of 24350 that divides 24335 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 24335 and 24350. The biggest common factor number is the GCF number.
So the greatest common factor 24335 and 24350 is 5.

Also check out the Least Common Multiple of 24335 and 24350