What is the Greatest Common Factor of 14034 and 14044?

Greatest common factor (GCF) of 14034 and 14044 is 2.

GCF(14034,14044) = 2

We will now calculate the prime factors of 14034 and 14044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14034 and 14044.

How to find the GCF of 14034 and 14044?

We will first find the prime factorization of 14034 and 14044. After we will calculate the factors of 14034 and 14044 and find the biggest common factor number .

Step-1: Prime Factorization of 14034

Prime factors of 14034 are 2, 3, 2339. Prime factorization of 14034 in exponential form is:

14034 = 2¹ × 3¹ × 2339¹

Step-2: Prime Factorization of 14044

Prime factors of 14044 are 2, 3511. Prime factorization of 14044 in exponential form is:

14044 = 2² × 3511¹

Step-3: Factors of 14034

List of positive integer factors of 14034 that divides 14034 without a remainder.

1, 2, 3, 6, 2339, 4678, 7017

Step-4: Factors of 14044

List of positive integer factors of 14044 that divides 14034 without a remainder.

1, 2, 4, 3511, 7022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14034 and 14044. The biggest common factor number is the GCF number.
So the greatest common factor 14034 and 14044 is 2.

Also check out the Least Common Multiple of 14034 and 14044