What is the Greatest Common Factor of 14034 and 14038?

Greatest common factor (GCF) of 14034 and 14038 is 2.

GCF(14034,14038) = 2

We will now calculate the prime factors of 14034 and 14038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14034 and 14038.

How to find the GCF of 14034 and 14038?

We will first find the prime factorization of 14034 and 14038. After we will calculate the factors of 14034 and 14038 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 14038

Prime factors of 14038 are 2, 7019. Prime factorization of 14038 in exponential form is:

14038 = 2¹ × 7019¹

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 14038

List of positive integer factors of 14038 that divides 14034 without a remainder.

1, 2, 7019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14034 and 14038. The biggest common factor number is the GCF number.
So the greatest common factor 14034 and 14038 is 2.

Also check out the Least Common Multiple of 14034 and 14038