What is the Greatest Common Factor of 34585 and 34605?

Greatest common factor (GCF) of 34585 and 34605 is 5.

GCF(34585,34605) = 5

We will now calculate the prime factors of 34585 and 34605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34585 and 34605.

How to find the GCF of 34585 and 34605?

We will first find the prime factorization of 34585 and 34605. After we will calculate the factors of 34585 and 34605 and find the biggest common factor number .

Step-1: Prime Factorization of 34585

Prime factors of 34585 are 5, 6917. Prime factorization of 34585 in exponential form is:

34585 = 5¹ × 6917¹

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 34585

List of positive integer factors of 34585 that divides 34585 without a remainder.

1, 5, 6917

Step-4: Factors of 34605

List of positive integer factors of 34605 that divides 34585 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 34585 and 34605. The biggest common factor number is the GCF number.
So the greatest common factor 34585 and 34605 is 5.

Also check out the Least Common Multiple of 34585 and 34605