What is the Greatest Common Factor of 34599 and 34605?

Greatest common factor (GCF) of 34599 and 34605 is 3.

GCF(34599,34605) = 3

We will now calculate the prime factors of 34599 and 34605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34599 and 34605.

How to find the GCF of 34599 and 34605?

We will first find the prime factorization of 34599 and 34605. After we will calculate the factors of 34599 and 34605 and find the biggest common factor number .

Step-1: Prime Factorization of 34599

Prime factors of 34599 are 3, 19, 607. Prime factorization of 34599 in exponential form is:

34599 = 3¹ × 19¹ × 607¹

Step-2: Prime Factorization of 34605

Prime factors of 34605 are 3, 5, 769. Prime factorization of 34605 in exponential form is:

34605 = 3² × 5¹ × 769¹

Step-3: Factors of 34599

List of positive integer factors of 34599 that divides 34599 without a remainder.

1, 3, 19, 57, 607, 1821, 11533

Step-4: Factors of 34605

List of positive integer factors of 34605 that divides 34599 without a remainder.

1, 3, 5, 9, 15, 45, 769, 2307, 3845, 6921, 11535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34599 and 34605. The biggest common factor number is the GCF number.
So the greatest common factor 34599 and 34605 is 3.

Also check out the Least Common Multiple of 34599 and 34605