What is the Greatest Common Factor of 34006 and 34024?

Greatest common factor (GCF) of 34006 and 34024 is 2.

GCF(34006,34024) = 2

We will now calculate the prime factors of 34006 and 34024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34006 and 34024.

How to find the GCF of 34006 and 34024?

We will first find the prime factorization of 34006 and 34024. After we will calculate the factors of 34006 and 34024 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 34024

Prime factors of 34024 are 2, 4253. Prime factorization of 34024 in exponential form is:

34024 = 2³ × 4253¹

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 34024

List of positive integer factors of 34024 that divides 34006 without a remainder.

1, 2, 4, 8, 4253, 8506, 17012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34006 and 34024. The biggest common factor number is the GCF number.
So the greatest common factor 34006 and 34024 is 2.

Also check out the Least Common Multiple of 34006 and 34024