What is the Greatest Common Factor of 34006 and 34022?

Greatest common factor (GCF) of 34006 and 34022 is 2.

GCF(34006,34022) = 2

We will now calculate the prime factors of 34006 and 34022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34006 and 34022.

How to find the GCF of 34006 and 34022?

We will first find the prime factorization of 34006 and 34022. After we will calculate the factors of 34006 and 34022 and find the biggest common factor number .

Step-1: Prime Factorization of 34006

Prime factors of 34006 are 2, 7, 347. Prime factorization of 34006 in exponential form is:

34006 = 2¹ × 7² × 347¹

Step-2: Prime Factorization of 34022

Prime factors of 34022 are 2, 17011. Prime factorization of 34022 in exponential form is:

34022 = 2¹ × 17011¹

Step-3: Factors of 34006

List of positive integer factors of 34006 that divides 34006 without a remainder.

1, 2, 7, 14, 49, 98, 347, 694, 2429, 4858, 17003

Step-4: Factors of 34022

List of positive integer factors of 34022 that divides 34006 without a remainder.

1, 2, 17011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34006 and 34022. The biggest common factor number is the GCF number.
So the greatest common factor 34006 and 34022 is 2.

Also check out the Least Common Multiple of 34006 and 34022