What is the Greatest Common Factor of 14214 and 14226?

Greatest common factor (GCF) of 14214 and 14226 is 6.

GCF(14214,14226) = 6

We will now calculate the prime factors of 14214 and 14226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14214 and 14226.

How to find the GCF of 14214 and 14226?

We will first find the prime factorization of 14214 and 14226. After we will calculate the factors of 14214 and 14226 and find the biggest common factor number .

Step-1: Prime Factorization of 14214

Prime factors of 14214 are 2, 3, 23, 103. Prime factorization of 14214 in exponential form is:

14214 = 2¹ × 3¹ × 23¹ × 103¹

Step-2: Prime Factorization of 14226

Prime factors of 14226 are 2, 3, 2371. Prime factorization of 14226 in exponential form is:

14226 = 2¹ × 3¹ × 2371¹

Step-3: Factors of 14214

List of positive integer factors of 14214 that divides 14214 without a remainder.

1, 2, 3, 6, 23, 46, 69, 103, 138, 206, 309, 618, 2369, 4738, 7107

Step-4: Factors of 14226

List of positive integer factors of 14226 that divides 14214 without a remainder.

1, 2, 3, 6, 2371, 4742, 7113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14214 and 14226. The biggest common factor number is the GCF number.
So the greatest common factor 14214 and 14226 is 6.

Also check out the Least Common Multiple of 14214 and 14226