What is the Greatest Common Factor of 24309 and 24317?

Greatest common factor (GCF) of 24309 and 24317 is 1.

GCF(24309,24317) = 1

We will now calculate the prime factors of 24309 and 24317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24309 and 24317.

How to find the GCF of 24309 and 24317?

We will first find the prime factorization of 24309 and 24317. After we will calculate the factors of 24309 and 24317 and find the biggest common factor number .

Step-1: Prime Factorization of 24309

Prime factors of 24309 are 3, 37, 73. Prime factorization of 24309 in exponential form is:

24309 = 3² × 37¹ × 73¹

Step-2: Prime Factorization of 24317

Prime factors of 24317 are 24317. Prime factorization of 24317 in exponential form is:

24317 = 24317¹

Step-3: Factors of 24309

List of positive integer factors of 24309 that divides 24309 without a remainder.

1, 3, 9, 37, 73, 111, 219, 333, 657, 2701, 8103

Step-4: Factors of 24317

List of positive integer factors of 24317 that divides 24309 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24309 and 24317. The biggest common factor number is the GCF number.
So the greatest common factor 24309 and 24317 is 1.

Also check out the Least Common Multiple of 24309 and 24317