What is the Greatest Common Factor of 34789 and 34808?

Greatest common factor (GCF) of 34789 and 34808 is 19.

GCF(34789,34808) = 19

We will now calculate the prime factors of 34789 and 34808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34789 and 34808.

How to find the GCF of 34789 and 34808?

We will first find the prime factorization of 34789 and 34808. After we will calculate the factors of 34789 and 34808 and find the biggest common factor number .

Step-1: Prime Factorization of 34789

Prime factors of 34789 are 19, 1831. Prime factorization of 34789 in exponential form is:

34789 = 19¹ × 1831¹

Step-2: Prime Factorization of 34808

Prime factors of 34808 are 2, 19, 229. Prime factorization of 34808 in exponential form is:

34808 = 2³ × 19¹ × 229¹

Step-3: Factors of 34789

List of positive integer factors of 34789 that divides 34789 without a remainder.

1, 19, 1831

Step-4: Factors of 34808

List of positive integer factors of 34808 that divides 34789 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 229, 458, 916, 1832, 4351, 8702, 17404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34789 and 34808. The biggest common factor number is the GCF number.
So the greatest common factor 34789 and 34808 is 19.

Also check out the Least Common Multiple of 34789 and 34808