What is the Greatest Common Factor of 14365 and 14370?

Greatest common factor (GCF) of 14365 and 14370 is 5.

GCF(14365,14370) = 5

We will now calculate the prime factors of 14365 and 14370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14365 and 14370.

How to find the GCF of 14365 and 14370?

We will first find the prime factorization of 14365 and 14370. After we will calculate the factors of 14365 and 14370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14370

Prime factors of 14370 are 2, 3, 5, 479. Prime factorization of 14370 in exponential form is:

14370 = 2¹ × 3¹ × 5¹ × 479¹

Step-3: Factors of 14365

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

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

Step-4: Factors of 14370

List of positive integer factors of 14370 that divides 14365 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 479, 958, 1437, 2395, 2874, 4790, 7185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14365 and 14370. The biggest common factor number is the GCF number.
So the greatest common factor 14365 and 14370 is 5.

Also check out the Least Common Multiple of 14365 and 14370