What is the Greatest Common Factor of 16340 and 16345?

Greatest common factor (GCF) of 16340 and 16345 is 5.

GCF(16340,16345) = 5

We will now calculate the prime factors of 16340 and 16345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16340 and 16345.

How to find the GCF of 16340 and 16345?

We will first find the prime factorization of 16340 and 16345. After we will calculate the factors of 16340 and 16345 and find the biggest common factor number .

Step-1: Prime Factorization of 16340

Prime factors of 16340 are 2, 5, 19, 43. Prime factorization of 16340 in exponential form is:

16340 = 2² × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 16345

Prime factors of 16345 are 5, 7, 467. Prime factorization of 16345 in exponential form is:

16345 = 5¹ × 7¹ × 467¹

Step-3: Factors of 16340

List of positive integer factors of 16340 that divides 16340 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 43, 76, 86, 95, 172, 190, 215, 380, 430, 817, 860, 1634, 3268, 4085, 8170

Step-4: Factors of 16345

List of positive integer factors of 16345 that divides 16340 without a remainder.

1, 5, 7, 35, 467, 2335, 3269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16340 and 16345. The biggest common factor number is the GCF number.
So the greatest common factor 16340 and 16345 is 5.

Also check out the Least Common Multiple of 16340 and 16345