What is the Greatest Common Factor of 14314 and 14334?

Greatest common factor (GCF) of 14314 and 14334 is 2.

GCF(14314,14334) = 2

We will now calculate the prime factors of 14314 and 14334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14314 and 14334.

How to find the GCF of 14314 and 14334?

We will first find the prime factorization of 14314 and 14334. After we will calculate the factors of 14314 and 14334 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 14334

Prime factors of 14334 are 2, 3, 2389. Prime factorization of 14334 in exponential form is:

14334 = 2¹ × 3¹ × 2389¹

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 14334

List of positive integer factors of 14334 that divides 14314 without a remainder.

1, 2, 3, 6, 2389, 4778, 7167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14314 and 14334. The biggest common factor number is the GCF number.
So the greatest common factor 14314 and 14334 is 2.

Also check out the Least Common Multiple of 14314 and 14334