What is the Greatest Common Factor of 14034 and 14049?

Greatest common factor (GCF) of 14034 and 14049 is 3.

GCF(14034,14049) = 3

We will now calculate the prime factors of 14034 and 14049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14034 and 14049.

How to find the GCF of 14034 and 14049?

We will first find the prime factorization of 14034 and 14049. After we will calculate the factors of 14034 and 14049 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 14049

Prime factors of 14049 are 3, 7, 223. Prime factorization of 14049 in exponential form is:

14049 = 3² × 7¹ × 223¹

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 14049

List of positive integer factors of 14049 that divides 14034 without a remainder.

1, 3, 7, 9, 21, 63, 223, 669, 1561, 2007, 4683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14034 and 14049. The biggest common factor number is the GCF number.
So the greatest common factor 14034 and 14049 is 3.

Also check out the Least Common Multiple of 14034 and 14049