What is the Greatest Common Factor of 34589 and 34604?

Greatest common factor (GCF) of 34589 and 34604 is 1.

GCF(34589,34604) = 1

We will now calculate the prime factors of 34589 and 34604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34589 and 34604.

How to find the GCF of 34589 and 34604?

We will first find the prime factorization of 34589 and 34604. After we will calculate the factors of 34589 and 34604 and find the biggest common factor number .

Step-1: Prime Factorization of 34589

Prime factors of 34589 are 34589. Prime factorization of 34589 in exponential form is:

34589 = 34589¹

Step-2: Prime Factorization of 34604

Prime factors of 34604 are 2, 41, 211. Prime factorization of 34604 in exponential form is:

34604 = 2² × 41¹ × 211¹

Step-3: Factors of 34589

List of positive integer factors of 34589 that divides 34589 without a remainder.

Step-4: Factors of 34604

List of positive integer factors of 34604 that divides 34589 without a remainder.

1, 2, 4, 41, 82, 164, 211, 422, 844, 8651, 17302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34589 and 34604. The biggest common factor number is the GCF number.
So the greatest common factor 34589 and 34604 is 1.

Also check out the Least Common Multiple of 34589 and 34604