What is the Greatest Common Factor of 24304 and 24309?

Greatest common factor (GCF) of 24304 and 24309 is 1.

GCF(24304,24309) = 1

We will now calculate the prime factors of 24304 and 24309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24304 and 24309.

How to find the GCF of 24304 and 24309?

We will first find the prime factorization of 24304 and 24309. After we will calculate the factors of 24304 and 24309 and find the biggest common factor number .

Step-1: Prime Factorization of 24304

Prime factors of 24304 are 2, 7, 31. Prime factorization of 24304 in exponential form is:

24304 = 2⁴ × 7² × 31¹

Step-2: 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-3: Factors of 24304

List of positive integer factors of 24304 that divides 24304 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 49, 56, 62, 98, 112, 124, 196, 217, 248, 392, 434, 496, 784, 868, 1519, 1736, 3038, 3472, 6076, 12152

Step-4: Factors of 24309

List of positive integer factors of 24309 that divides 24304 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24304 and 24309. The biggest common factor number is the GCF number.
So the greatest common factor 24304 and 24309 is 1.

Also check out the Least Common Multiple of 24304 and 24309