What is the Greatest Common Factor of 34768 and 34778?

Greatest common factor (GCF) of 34768 and 34778 is 2.

GCF(34768,34778) = 2

We will now calculate the prime factors of 34768 and 34778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34768 and 34778.

How to find the GCF of 34768 and 34778?

We will first find the prime factorization of 34768 and 34778. After we will calculate the factors of 34768 and 34778 and find the biggest common factor number .

Step-1: Prime Factorization of 34768

Prime factors of 34768 are 2, 41, 53. Prime factorization of 34768 in exponential form is:

34768 = 2⁴ × 41¹ × 53¹

Step-2: Prime Factorization of 34778

Prime factors of 34778 are 2, 17389. Prime factorization of 34778 in exponential form is:

34778 = 2¹ × 17389¹

Step-3: Factors of 34768

List of positive integer factors of 34768 that divides 34768 without a remainder.

1, 2, 4, 8, 16, 41, 53, 82, 106, 164, 212, 328, 424, 656, 848, 2173, 4346, 8692, 17384

Step-4: Factors of 34778

List of positive integer factors of 34778 that divides 34768 without a remainder.

1, 2, 17389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34768 and 34778. The biggest common factor number is the GCF number.
So the greatest common factor 34768 and 34778 is 2.

Also check out the Least Common Multiple of 34768 and 34778