What is the Greatest Common Factor of 16337 and 16354?

Greatest common factor (GCF) of 16337 and 16354 is 17.

GCF(16337,16354) = 17

We will now calculate the prime factors of 16337 and 16354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16337 and 16354.

How to find the GCF of 16337 and 16354?

We will first find the prime factorization of 16337 and 16354. After we will calculate the factors of 16337 and 16354 and find the biggest common factor number .

Step-1: Prime Factorization of 16337

Prime factors of 16337 are 17, 31. Prime factorization of 16337 in exponential form is:

16337 = 17¹ × 31²

Step-2: Prime Factorization of 16354

Prime factors of 16354 are 2, 13, 17, 37. Prime factorization of 16354 in exponential form is:

16354 = 2¹ × 13¹ × 17¹ × 37¹

Step-3: Factors of 16337

List of positive integer factors of 16337 that divides 16337 without a remainder.

1, 17, 31, 527, 961

Step-4: Factors of 16354

List of positive integer factors of 16354 that divides 16337 without a remainder.

1, 2, 13, 17, 26, 34, 37, 74, 221, 442, 481, 629, 962, 1258, 8177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16337 and 16354. The biggest common factor number is the GCF number.
So the greatest common factor 16337 and 16354 is 17.

Also check out the Least Common Multiple of 16337 and 16354