What is the Greatest Common Factor of 34304 and 34318?

Greatest common factor (GCF) of 34304 and 34318 is 2.

GCF(34304,34318) = 2

We will now calculate the prime factors of 34304 and 34318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34304 and 34318.

How to find the GCF of 34304 and 34318?

We will first find the prime factorization of 34304 and 34318. After we will calculate the factors of 34304 and 34318 and find the biggest common factor number .

Step-1: Prime Factorization of 34304

Prime factors of 34304 are 2, 67. Prime factorization of 34304 in exponential form is:

34304 = 2⁹ × 67¹

Step-2: Prime Factorization of 34318

Prime factors of 34318 are 2, 17159. Prime factorization of 34318 in exponential form is:

34318 = 2¹ × 17159¹

Step-3: Factors of 34304

List of positive integer factors of 34304 that divides 34304 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 256, 268, 512, 536, 1072, 2144, 4288, 8576, 17152

Step-4: Factors of 34318

List of positive integer factors of 34318 that divides 34304 without a remainder.

1, 2, 17159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34304 and 34318. The biggest common factor number is the GCF number.
So the greatest common factor 34304 and 34318 is 2.

Also check out the Least Common Multiple of 34304 and 34318