What is the Greatest Common Factor of 24304 and 24322?

Greatest common factor (GCF) of 24304 and 24322 is 2.

GCF(24304,24322) = 2

We will now calculate the prime factors of 24304 and 24322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24304 and 24322.

How to find the GCF of 24304 and 24322?

We will first find the prime factorization of 24304 and 24322. After we will calculate the factors of 24304 and 24322 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 24322

Prime factors of 24322 are 2, 12161. Prime factorization of 24322 in exponential form is:

24322 = 2¹ × 12161¹

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 24322

List of positive integer factors of 24322 that divides 24304 without a remainder.

1, 2, 12161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24304 and 24322. The biggest common factor number is the GCF number.
So the greatest common factor 24304 and 24322 is 2.

Also check out the Least Common Multiple of 24304 and 24322