What is the Greatest Common Factor of 24304 and 24314?

Greatest common factor (GCF) of 24304 and 24314 is 2.

GCF(24304,24314) = 2

We will now calculate the prime factors of 24304 and 24314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24304 and 24314.

How to find the GCF of 24304 and 24314?

We will first find the prime factorization of 24304 and 24314. After we will calculate the factors of 24304 and 24314 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 24314

Prime factors of 24314 are 2, 12157. Prime factorization of 24314 in exponential form is:

24314 = 2¹ × 12157¹

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 24314

List of positive integer factors of 24314 that divides 24304 without a remainder.

1, 2, 12157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24304 and 24314. The biggest common factor number is the GCF number.
So the greatest common factor 24304 and 24314 is 2.

Also check out the Least Common Multiple of 24304 and 24314