What is the Greatest Common Factor of 14006 and 14022?

Greatest common factor (GCF) of 14006 and 14022 is 2.

GCF(14006,14022) = 2

We will now calculate the prime factors of 14006 and 14022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14006 and 14022.

How to find the GCF of 14006 and 14022?

We will first find the prime factorization of 14006 and 14022. After we will calculate the factors of 14006 and 14022 and find the biggest common factor number .

Step-1: Prime Factorization of 14006

Prime factors of 14006 are 2, 47, 149. Prime factorization of 14006 in exponential form is:

14006 = 2¹ × 47¹ × 149¹

Step-2: Prime Factorization of 14022

Prime factors of 14022 are 2, 3, 19, 41. Prime factorization of 14022 in exponential form is:

14022 = 2¹ × 3² × 19¹ × 41¹

Step-3: Factors of 14006

List of positive integer factors of 14006 that divides 14006 without a remainder.

1, 2, 47, 94, 149, 298, 7003

Step-4: Factors of 14022

List of positive integer factors of 14022 that divides 14006 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 41, 57, 82, 114, 123, 171, 246, 342, 369, 738, 779, 1558, 2337, 4674, 7011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14006 and 14022. The biggest common factor number is the GCF number.
So the greatest common factor 14006 and 14022 is 2.

Also check out the Least Common Multiple of 14006 and 14022