What is the Greatest Common Factor of 32334 and 32351?

Greatest common factor (GCF) of 32334 and 32351 is 17.

GCF(32334,32351) = 17

We will now calculate the prime factors of 32334 and 32351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32334 and 32351.

How to find the GCF of 32334 and 32351?

We will first find the prime factorization of 32334 and 32351. After we will calculate the factors of 32334 and 32351 and find the biggest common factor number .

Step-1: Prime Factorization of 32334

Prime factors of 32334 are 2, 3, 17, 317. Prime factorization of 32334 in exponential form is:

32334 = 2¹ × 3¹ × 17¹ × 317¹

Step-2: Prime Factorization of 32351

Prime factors of 32351 are 11, 17, 173. Prime factorization of 32351 in exponential form is:

32351 = 11¹ × 17¹ × 173¹

Step-3: Factors of 32334

List of positive integer factors of 32334 that divides 32334 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 317, 634, 951, 1902, 5389, 10778, 16167

Step-4: Factors of 32351

List of positive integer factors of 32351 that divides 32334 without a remainder.

1, 11, 17, 173, 187, 1903, 2941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32334 and 32351. The biggest common factor number is the GCF number.
So the greatest common factor 32334 and 32351 is 17.

Also check out the Least Common Multiple of 32334 and 32351