What is the Greatest Common Factor of 34768 and 34774?

Greatest common factor (GCF) of 34768 and 34774 is 2.

GCF(34768,34774) = 2

We will now calculate the prime factors of 34768 and 34774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34768 and 34774.

How to find the GCF of 34768 and 34774?

We will first find the prime factorization of 34768 and 34774. After we will calculate the factors of 34768 and 34774 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 34774

Prime factors of 34774 are 2, 17387. Prime factorization of 34774 in exponential form is:

34774 = 2¹ × 17387¹

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 34774

List of positive integer factors of 34774 that divides 34768 without a remainder.

1, 2, 17387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34768 and 34774. The biggest common factor number is the GCF number.
So the greatest common factor 34768 and 34774 is 2.

Also check out the Least Common Multiple of 34768 and 34774