What is the Greatest Common Factor of 14313 and 14328?

Greatest common factor (GCF) of 14313 and 14328 is 3.

GCF(14313,14328) = 3

We will now calculate the prime factors of 14313 and 14328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14313 and 14328.

How to find the GCF of 14313 and 14328?

We will first find the prime factorization of 14313 and 14328. After we will calculate the factors of 14313 and 14328 and find the biggest common factor number .

Step-1: Prime Factorization of 14313

Prime factors of 14313 are 3, 13, 367. Prime factorization of 14313 in exponential form is:

14313 = 3¹ × 13¹ × 367¹

Step-2: Prime Factorization of 14328

Prime factors of 14328 are 2, 3, 199. Prime factorization of 14328 in exponential form is:

14328 = 2³ × 3² × 199¹

Step-3: Factors of 14313

List of positive integer factors of 14313 that divides 14313 without a remainder.

1, 3, 13, 39, 367, 1101, 4771

Step-4: Factors of 14328

List of positive integer factors of 14328 that divides 14313 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 199, 398, 597, 796, 1194, 1592, 1791, 2388, 3582, 4776, 7164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14313 and 14328. The biggest common factor number is the GCF number.
So the greatest common factor 14313 and 14328 is 3.

Also check out the Least Common Multiple of 14313 and 14328