What is the Greatest Common Factor of 34762 and 34768?

Greatest common factor (GCF) of 34762 and 34768 is 2.

GCF(34762,34768) = 2

We will now calculate the prime factors of 34762 and 34768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34762 and 34768.

How to find the GCF of 34762 and 34768?

We will first find the prime factorization of 34762 and 34768. After we will calculate the factors of 34762 and 34768 and find the biggest common factor number .

Step-1: Prime Factorization of 34762

Prime factors of 34762 are 2, 7, 13, 191. Prime factorization of 34762 in exponential form is:

34762 = 2¹ × 7¹ × 13¹ × 191¹

Step-2: 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-3: Factors of 34762

List of positive integer factors of 34762 that divides 34762 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 191, 382, 1337, 2483, 2674, 4966, 17381

Step-4: Factors of 34768

List of positive integer factors of 34768 that divides 34762 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34762 and 34768. The biggest common factor number is the GCF number.
So the greatest common factor 34762 and 34768 is 2.

Also check out the Least Common Multiple of 34762 and 34768