What is the Greatest Common Factor of 24324 and 24335?

Greatest common factor (GCF) of 24324 and 24335 is 1.

GCF(24324,24335) = 1

We will now calculate the prime factors of 24324 and 24335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24324 and 24335.

How to find the GCF of 24324 and 24335?

We will first find the prime factorization of 24324 and 24335. After we will calculate the factors of 24324 and 24335 and find the biggest common factor number .

Step-1: Prime Factorization of 24324

Prime factors of 24324 are 2, 3, 2027. Prime factorization of 24324 in exponential form is:

24324 = 2² × 3¹ × 2027¹

Step-2: 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-3: Factors of 24324

List of positive integer factors of 24324 that divides 24324 without a remainder.

1, 2, 3, 4, 6, 12, 2027, 4054, 6081, 8108, 12162

Step-4: Factors of 24335

List of positive integer factors of 24335 that divides 24324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24324 and 24335. The biggest common factor number is the GCF number.
So the greatest common factor 24324 and 24335 is 1.

Also check out the Least Common Multiple of 24324 and 24335