What is the Greatest Common Factor of 34378 and 34384?

Greatest common factor (GCF) of 34378 and 34384 is 2.

GCF(34378,34384) = 2

We will now calculate the prime factors of 34378 and 34384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34378 and 34384.

How to find the GCF of 34378 and 34384?

We will first find the prime factorization of 34378 and 34384. After we will calculate the factors of 34378 and 34384 and find the biggest common factor number .

Step-1: Prime Factorization of 34378

Prime factors of 34378 are 2, 17189. Prime factorization of 34378 in exponential form is:

34378 = 2¹ × 17189¹

Step-2: Prime Factorization of 34384

Prime factors of 34384 are 2, 7, 307. Prime factorization of 34384 in exponential form is:

34384 = 2⁴ × 7¹ × 307¹

Step-3: Factors of 34378

List of positive integer factors of 34378 that divides 34378 without a remainder.

1, 2, 17189

Step-4: Factors of 34384

List of positive integer factors of 34384 that divides 34378 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 17192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34378 and 34384. The biggest common factor number is the GCF number.
So the greatest common factor 34378 and 34384 is 2.

Also check out the Least Common Multiple of 34378 and 34384