What is the Greatest Common Factor of 34575 and 34589?

Greatest common factor (GCF) of 34575 and 34589 is 1.

GCF(34575,34589) = 1

We will now calculate the prime factors of 34575 and 34589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34575 and 34589.

How to find the GCF of 34575 and 34589?

We will first find the prime factorization of 34575 and 34589. After we will calculate the factors of 34575 and 34589 and find the biggest common factor number .

Step-1: Prime Factorization of 34575

Prime factors of 34575 are 3, 5, 461. Prime factorization of 34575 in exponential form is:

34575 = 3¹ × 5² × 461¹

Step-2: Prime Factorization of 34589

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

34589 = 34589¹

Step-3: Factors of 34575

List of positive integer factors of 34575 that divides 34575 without a remainder.

1, 3, 5, 15, 25, 75, 461, 1383, 2305, 6915, 11525

Step-4: Factors of 34589

List of positive integer factors of 34589 that divides 34575 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34575 and 34589. The biggest common factor number is the GCF number.
So the greatest common factor 34575 and 34589 is 1.

Also check out the Least Common Multiple of 34575 and 34589