What is the Greatest Common Factor of 14345 and 14365?

Greatest common factor (GCF) of 14345 and 14365 is 5.

GCF(14345,14365) = 5

We will now calculate the prime factors of 14345 and 14365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14345 and 14365.

How to find the GCF of 14345 and 14365?

We will first find the prime factorization of 14345 and 14365. After we will calculate the factors of 14345 and 14365 and find the biggest common factor number .

Step-1: Prime Factorization of 14345

Prime factors of 14345 are 5, 19, 151. Prime factorization of 14345 in exponential form is:

14345 = 5¹ × 19¹ × 151¹

Step-2: Prime Factorization of 14365

Prime factors of 14365 are 5, 13, 17. Prime factorization of 14365 in exponential form is:

14365 = 5¹ × 13² × 17¹

Step-3: Factors of 14345

List of positive integer factors of 14345 that divides 14345 without a remainder.

1, 5, 19, 95, 151, 755, 2869

Step-4: Factors of 14365

List of positive integer factors of 14365 that divides 14345 without a remainder.

1, 5, 13, 17, 65, 85, 169, 221, 845, 1105, 2873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14345 and 14365. The biggest common factor number is the GCF number.
So the greatest common factor 14345 and 14365 is 5.

Also check out the Least Common Multiple of 14345 and 14365