What is the Greatest Common Factor of 34768 and 34772?

Greatest common factor (GCF) of 34768 and 34772 is 4.

GCF(34768,34772) = 4

We will now calculate the prime factors of 34768 and 34772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34768 and 34772.

How to find the GCF of 34768 and 34772?

We will first find the prime factorization of 34768 and 34772. After we will calculate the factors of 34768 and 34772 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 34772

Prime factors of 34772 are 2, 8693. Prime factorization of 34772 in exponential form is:

34772 = 2² × 8693¹

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 34772

List of positive integer factors of 34772 that divides 34768 without a remainder.

1, 2, 4, 8693, 17386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34768 and 34772. The biggest common factor number is the GCF number.
So the greatest common factor 34768 and 34772 is 4.

Also check out the Least Common Multiple of 34768 and 34772