What is the Greatest Common Factor of 34609 and 34617?

Greatest common factor (GCF) of 34609 and 34617 is 1.

GCF(34609,34617) = 1

We will now calculate the prime factors of 34609 and 34617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34609 and 34617.

How to find the GCF of 34609 and 34617?

We will first find the prime factorization of 34609 and 34617. After we will calculate the factors of 34609 and 34617 and find the biggest common factor number .

Step-1: Prime Factorization of 34609

Prime factors of 34609 are 53, 653. Prime factorization of 34609 in exponential form is:

34609 = 53¹ × 653¹

Step-2: Prime Factorization of 34617

Prime factors of 34617 are 3, 11, 1049. Prime factorization of 34617 in exponential form is:

34617 = 3¹ × 11¹ × 1049¹

Step-3: Factors of 34609

List of positive integer factors of 34609 that divides 34609 without a remainder.

1, 53, 653

Step-4: Factors of 34617

List of positive integer factors of 34617 that divides 34609 without a remainder.

1, 3, 11, 33, 1049, 3147, 11539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34609 and 34617. The biggest common factor number is the GCF number.
So the greatest common factor 34609 and 34617 is 1.

Also check out the Least Common Multiple of 34609 and 34617