What is the Greatest Common Factor of 34570 and 34589?

Greatest common factor (GCF) of 34570 and 34589 is 1.

GCF(34570,34589) = 1

We will now calculate the prime factors of 34570 and 34589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34570 and 34589.

How to find the GCF of 34570 and 34589?

We will first find the prime factorization of 34570 and 34589. After we will calculate the factors of 34570 and 34589 and find the biggest common factor number .

Step-1: Prime Factorization of 34570

Prime factors of 34570 are 2, 5, 3457. Prime factorization of 34570 in exponential form is:

34570 = 2¹ × 5¹ × 3457¹

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 34570

List of positive integer factors of 34570 that divides 34570 without a remainder.

1, 2, 5, 10, 3457, 6914, 17285

Step-4: Factors of 34589

List of positive integer factors of 34589 that divides 34570 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34570 and 34589. The biggest common factor number is the GCF number.
So the greatest common factor 34570 and 34589 is 1.

Also check out the Least Common Multiple of 34570 and 34589