What is the Greatest Common Factor of 24309 and 24313?

Greatest common factor (GCF) of 24309 and 24313 is 1.

GCF(24309,24313) = 1

We will now calculate the prime factors of 24309 and 24313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24309 and 24313.

How to find the GCF of 24309 and 24313?

We will first find the prime factorization of 24309 and 24313. After we will calculate the factors of 24309 and 24313 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 24313

Prime factors of 24313 are 41, 593. Prime factorization of 24313 in exponential form is:

24313 = 41¹ × 593¹

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 24313

List of positive integer factors of 24313 that divides 24309 without a remainder.

1, 41, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24309 and 24313. The biggest common factor number is the GCF number.
So the greatest common factor 24309 and 24313 is 1.

Also check out the Least Common Multiple of 24309 and 24313