What is the Greatest Common Factor of 34014 and 34031?

Greatest common factor (GCF) of 34014 and 34031 is 1.

GCF(34014,34031) = 1

We will now calculate the prime factors of 34014 and 34031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34014 and 34031.

How to find the GCF of 34014 and 34031?

We will first find the prime factorization of 34014 and 34031. After we will calculate the factors of 34014 and 34031 and find the biggest common factor number .

Step-1: Prime Factorization of 34014

Prime factors of 34014 are 2, 3, 5669. Prime factorization of 34014 in exponential form is:

34014 = 2¹ × 3¹ × 5669¹

Step-2: Prime Factorization of 34031

Prime factors of 34031 are 34031. Prime factorization of 34031 in exponential form is:

34031 = 34031¹

Step-3: Factors of 34014

List of positive integer factors of 34014 that divides 34014 without a remainder.

1, 2, 3, 6, 5669, 11338, 17007

Step-4: Factors of 34031

List of positive integer factors of 34031 that divides 34014 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34014 and 34031. The biggest common factor number is the GCF number.
So the greatest common factor 34014 and 34031 is 1.

Also check out the Least Common Multiple of 34014 and 34031