What is the Greatest Common Factor of 34009 and 34019?

Greatest common factor (GCF) of 34009 and 34019 is 1.

GCF(34009,34019) = 1

We will now calculate the prime factors of 34009 and 34019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34009 and 34019.

How to find the GCF of 34009 and 34019?

We will first find the prime factorization of 34009 and 34019. After we will calculate the factors of 34009 and 34019 and find the biggest common factor number .

Step-1: Prime Factorization of 34009

Prime factors of 34009 are 71, 479. Prime factorization of 34009 in exponential form is:

34009 = 71¹ × 479¹

Step-2: Prime Factorization of 34019

Prime factors of 34019 are 34019. Prime factorization of 34019 in exponential form is:

34019 = 34019¹

Step-3: Factors of 34009

List of positive integer factors of 34009 that divides 34009 without a remainder.

1, 71, 479

Step-4: Factors of 34019

List of positive integer factors of 34019 that divides 34009 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34009 and 34019. The biggest common factor number is the GCF number.
So the greatest common factor 34009 and 34019 is 1.

Also check out the Least Common Multiple of 34009 and 34019