What is the Greatest Common Factor of 34075 and 34089?

Greatest common factor (GCF) of 34075 and 34089 is 1.

GCF(34075,34089) = 1

We will now calculate the prime factors of 34075 and 34089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34075 and 34089.

How to find the GCF of 34075 and 34089?

We will first find the prime factorization of 34075 and 34089. After we will calculate the factors of 34075 and 34089 and find the biggest common factor number .

Step-1: Prime Factorization of 34075

Prime factors of 34075 are 5, 29, 47. Prime factorization of 34075 in exponential form is:

34075 = 5² × 29¹ × 47¹

Step-2: Prime Factorization of 34089

Prime factors of 34089 are 3, 11, 1033. Prime factorization of 34089 in exponential form is:

34089 = 3¹ × 11¹ × 1033¹

Step-3: Factors of 34075

List of positive integer factors of 34075 that divides 34075 without a remainder.

1, 5, 25, 29, 47, 145, 235, 725, 1175, 1363, 6815

Step-4: Factors of 34089

List of positive integer factors of 34089 that divides 34075 without a remainder.

1, 3, 11, 33, 1033, 3099, 11363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34075 and 34089. The biggest common factor number is the GCF number.
So the greatest common factor 34075 and 34089 is 1.

Also check out the Least Common Multiple of 34075 and 34089