What is the Greatest Common Factor of 14214 and 14233?

Greatest common factor (GCF) of 14214 and 14233 is 1.

GCF(14214,14233) = 1

We will now calculate the prime factors of 14214 and 14233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14214 and 14233.

How to find the GCF of 14214 and 14233?

We will first find the prime factorization of 14214 and 14233. After we will calculate the factors of 14214 and 14233 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 14233

Prime factors of 14233 are 43, 331. Prime factorization of 14233 in exponential form is:

14233 = 43¹ × 331¹

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 14233

List of positive integer factors of 14233 that divides 14214 without a remainder.

1, 43, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14214 and 14233. The biggest common factor number is the GCF number.
So the greatest common factor 14214 and 14233 is 1.

Also check out the Least Common Multiple of 14214 and 14233