What is the Greatest Common Factor of 14343 and 14361?

Greatest common factor (GCF) of 14343 and 14361 is 3.

GCF(14343,14361) = 3

We will now calculate the prime factors of 14343 and 14361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14343 and 14361.

How to find the GCF of 14343 and 14361?

We will first find the prime factorization of 14343 and 14361. After we will calculate the factors of 14343 and 14361 and find the biggest common factor number .

Step-1: Prime Factorization of 14343

Prime factors of 14343 are 3, 7, 683. Prime factorization of 14343 in exponential form is:

14343 = 3¹ × 7¹ × 683¹

Step-2: Prime Factorization of 14361

Prime factors of 14361 are 3, 4787. Prime factorization of 14361 in exponential form is:

14361 = 3¹ × 4787¹

Step-3: Factors of 14343

List of positive integer factors of 14343 that divides 14343 without a remainder.

1, 3, 7, 21, 683, 2049, 4781

Step-4: Factors of 14361

List of positive integer factors of 14361 that divides 14343 without a remainder.

1, 3, 4787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14343 and 14361. The biggest common factor number is the GCF number.
So the greatest common factor 14343 and 14361 is 3.

Also check out the Least Common Multiple of 14343 and 14361