What is the Greatest Common Factor of 34014 and 34026?

Greatest common factor (GCF) of 34014 and 34026 is 6.

GCF(34014,34026) = 6

We will now calculate the prime factors of 34014 and 34026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34014 and 34026.

How to find the GCF of 34014 and 34026?

We will first find the prime factorization of 34014 and 34026. After we will calculate the factors of 34014 and 34026 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 34026

Prime factors of 34026 are 2, 3, 53, 107. Prime factorization of 34026 in exponential form is:

34026 = 2¹ × 3¹ × 53¹ × 107¹

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 34026

List of positive integer factors of 34026 that divides 34014 without a remainder.

1, 2, 3, 6, 53, 106, 107, 159, 214, 318, 321, 642, 5671, 11342, 17013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34014 and 34026. The biggest common factor number is the GCF number.
So the greatest common factor 34014 and 34026 is 6.

Also check out the Least Common Multiple of 34014 and 34026