What is the Greatest Common Factor of 34001 and 34012?

Greatest common factor (GCF) of 34001 and 34012 is 11.

GCF(34001,34012) = 11

We will now calculate the prime factors of 34001 and 34012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34001 and 34012.

How to find the GCF of 34001 and 34012?

We will first find the prime factorization of 34001 and 34012. After we will calculate the factors of 34001 and 34012 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 34012

Prime factors of 34012 are 2, 11, 773. Prime factorization of 34012 in exponential form is:

34012 = 2² × 11¹ × 773¹

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 34012

List of positive integer factors of 34012 that divides 34001 without a remainder.

1, 2, 4, 11, 22, 44, 773, 1546, 3092, 8503, 17006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34001 and 34012. The biggest common factor number is the GCF number.
So the greatest common factor 34001 and 34012 is 11.

Also check out the Least Common Multiple of 34001 and 34012