What is the Greatest Common Factor of 34022 and 34040?

Greatest common factor (GCF) of 34022 and 34040 is 2.

GCF(34022,34040) = 2

We will now calculate the prime factors of 34022 and 34040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34022 and 34040.

How to find the GCF of 34022 and 34040?

We will first find the prime factorization of 34022 and 34040. After we will calculate the factors of 34022 and 34040 and find the biggest common factor number .

Step-1: Prime Factorization of 34022

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

34022 = 2¹ × 17011¹

Step-2: Prime Factorization of 34040

Prime factors of 34040 are 2, 5, 23, 37. Prime factorization of 34040 in exponential form is:

34040 = 2³ × 5¹ × 23¹ × 37¹

Step-3: Factors of 34022

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

1, 2, 17011

Step-4: Factors of 34040

List of positive integer factors of 34040 that divides 34022 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 37, 40, 46, 74, 92, 115, 148, 184, 185, 230, 296, 370, 460, 740, 851, 920, 1480, 1702, 3404, 4255, 6808, 8510, 17020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34022 and 34040. The biggest common factor number is the GCF number.
So the greatest common factor 34022 and 34040 is 2.

Also check out the Least Common Multiple of 34022 and 34040