What is the Greatest Common Factor of 14348 and 14365?

Greatest common factor (GCF) of 14348 and 14365 is 17.

GCF(14348,14365) = 17

We will now calculate the prime factors of 14348 and 14365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14348 and 14365.

How to find the GCF of 14348 and 14365?

We will first find the prime factorization of 14348 and 14365. After we will calculate the factors of 14348 and 14365 and find the biggest common factor number .

Step-1: Prime Factorization of 14348

Prime factors of 14348 are 2, 17, 211. Prime factorization of 14348 in exponential form is:

14348 = 2² × 17¹ × 211¹

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 14348

List of positive integer factors of 14348 that divides 14348 without a remainder.

1, 2, 4, 17, 34, 68, 211, 422, 844, 3587, 7174

Step-4: Factors of 14365

List of positive integer factors of 14365 that divides 14348 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 14348 and 14365. The biggest common factor number is the GCF number.
So the greatest common factor 14348 and 14365 is 17.

Also check out the Least Common Multiple of 14348 and 14365