What is the Greatest Common Factor of 34010 and 34022?

Greatest common factor (GCF) of 34010 and 34022 is 2.

GCF(34010,34022) = 2

We will now calculate the prime factors of 34010 and 34022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34010 and 34022.

How to find the GCF of 34010 and 34022?

We will first find the prime factorization of 34010 and 34022. After we will calculate the factors of 34010 and 34022 and find the biggest common factor number .

Step-1: Prime Factorization of 34010

Prime factors of 34010 are 2, 5, 19, 179. Prime factorization of 34010 in exponential form is:

34010 = 2¹ × 5¹ × 19¹ × 179¹

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 34010

List of positive integer factors of 34010 that divides 34010 without a remainder.

1, 2, 5, 10, 19, 38, 95, 179, 190, 358, 895, 1790, 3401, 6802, 17005

Step-4: Factors of 34022

List of positive integer factors of 34022 that divides 34010 without a remainder.

1, 2, 17011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34010 and 34022. The biggest common factor number is the GCF number.
So the greatest common factor 34010 and 34022 is 2.

Also check out the Least Common Multiple of 34010 and 34022