What is the Greatest Common Factor of 34001 and 34006?

Greatest common factor (GCF) of 34001 and 34006 is 1.

GCF(34001,34006) = 1

We will now calculate the prime factors of 34001 and 34006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34001 and 34006.

How to find the GCF of 34001 and 34006?

We will first find the prime factorization of 34001 and 34006. After we will calculate the factors of 34001 and 34006 and find the biggest common factor number .

Step-1: Prime Factorization of 34001

Prime factors of 34001 are 11, 281. Prime factorization of 34001 in exponential form is:

34001 = 11² × 281¹

Step-2: 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-3: Factors of 34001

List of positive integer factors of 34001 that divides 34001 without a remainder.

1, 11, 121, 281, 3091

Step-4: Factors of 34006

List of positive integer factors of 34006 that divides 34001 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34001 and 34006. The biggest common factor number is the GCF number.
So the greatest common factor 34001 and 34006 is 1.

Also check out the Least Common Multiple of 34001 and 34006