What is the Greatest Common Factor of 32314 and 32334?

Greatest common factor (GCF) of 32314 and 32334 is 2.

GCF(32314,32334) = 2

We will now calculate the prime factors of 32314 and 32334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32314 and 32334.

How to find the GCF of 32314 and 32334?

We will first find the prime factorization of 32314 and 32334. After we will calculate the factors of 32314 and 32334 and find the biggest common factor number .

Step-1: Prime Factorization of 32314

Prime factors of 32314 are 2, 107, 151. Prime factorization of 32314 in exponential form is:

32314 = 2¹ × 107¹ × 151¹

Step-2: 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-3: Factors of 32314

List of positive integer factors of 32314 that divides 32314 without a remainder.

1, 2, 107, 151, 214, 302, 16157

Step-4: Factors of 32334

List of positive integer factors of 32334 that divides 32314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32314 and 32334. The biggest common factor number is the GCF number.
So the greatest common factor 32314 and 32334 is 2.

Also check out the Least Common Multiple of 32314 and 32334