What is the Greatest Common Factor of 14314 and 14318?

Greatest common factor (GCF) of 14314 and 14318 is 2.

GCF(14314,14318) = 2

We will now calculate the prime factors of 14314 and 14318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14314 and 14318.

How to find the GCF of 14314 and 14318?

We will first find the prime factorization of 14314 and 14318. After we will calculate the factors of 14314 and 14318 and find the biggest common factor number .

Step-1: Prime Factorization of 14314

Prime factors of 14314 are 2, 17, 421. Prime factorization of 14314 in exponential form is:

14314 = 2¹ × 17¹ × 421¹

Step-2: Prime Factorization of 14318

Prime factors of 14318 are 2, 7159. Prime factorization of 14318 in exponential form is:

14318 = 2¹ × 7159¹

Step-3: Factors of 14314

List of positive integer factors of 14314 that divides 14314 without a remainder.

1, 2, 17, 34, 421, 842, 7157

Step-4: Factors of 14318

List of positive integer factors of 14318 that divides 14314 without a remainder.

1, 2, 7159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14314 and 14318. The biggest common factor number is the GCF number.
So the greatest common factor 14314 and 14318 is 2.

Also check out the Least Common Multiple of 14314 and 14318