What is the Greatest Common Factor of 34014 and 34023?

Greatest common factor (GCF) of 34014 and 34023 is 3.

GCF(34014,34023) = 3

We will now calculate the prime factors of 34014 and 34023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34014 and 34023.

How to find the GCF of 34014 and 34023?

We will first find the prime factorization of 34014 and 34023. After we will calculate the factors of 34014 and 34023 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 34023

Prime factors of 34023 are 3, 11, 1031. Prime factorization of 34023 in exponential form is:

34023 = 3¹ × 11¹ × 1031¹

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 34023

List of positive integer factors of 34023 that divides 34014 without a remainder.

1, 3, 11, 33, 1031, 3093, 11341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34014 and 34023. The biggest common factor number is the GCF number.
So the greatest common factor 34014 and 34023 is 3.

Also check out the Least Common Multiple of 34014 and 34023