What is the Greatest Common Factor of 12314 and 12329?

Greatest common factor (GCF) of 12314 and 12329 is 1.

GCF(12314,12329) = 1

We will now calculate the prime factors of 12314 and 12329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12314 and 12329.

How to find the GCF of 12314 and 12329?

We will first find the prime factorization of 12314 and 12329. After we will calculate the factors of 12314 and 12329 and find the biggest common factor number .

Step-1: Prime Factorization of 12314

Prime factors of 12314 are 2, 47, 131. Prime factorization of 12314 in exponential form is:

12314 = 2¹ × 47¹ × 131¹

Step-2: Prime Factorization of 12329

Prime factors of 12329 are 12329. Prime factorization of 12329 in exponential form is:

12329 = 12329¹

Step-3: Factors of 12314

List of positive integer factors of 12314 that divides 12314 without a remainder.

1, 2, 47, 94, 131, 262, 6157

Step-4: Factors of 12329

List of positive integer factors of 12329 that divides 12314 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12314 and 12329. The biggest common factor number is the GCF number.
So the greatest common factor 12314 and 12329 is 1.

Also check out the Least Common Multiple of 12314 and 12329