What is the Greatest Common Factor of 32398 and 32416?

Greatest common factor (GCF) of 32398 and 32416 is 2.

GCF(32398,32416) = 2

We will now calculate the prime factors of 32398 and 32416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32398 and 32416.

How to find the GCF of 32398 and 32416?

We will first find the prime factorization of 32398 and 32416. After we will calculate the factors of 32398 and 32416 and find the biggest common factor number .

Step-1: Prime Factorization of 32398

Prime factors of 32398 are 2, 97, 167. Prime factorization of 32398 in exponential form is:

32398 = 2¹ × 97¹ × 167¹

Step-2: Prime Factorization of 32416

Prime factors of 32416 are 2, 1013. Prime factorization of 32416 in exponential form is:

32416 = 2⁵ × 1013¹

Step-3: Factors of 32398

List of positive integer factors of 32398 that divides 32398 without a remainder.

1, 2, 97, 167, 194, 334, 16199

Step-4: Factors of 32416

List of positive integer factors of 32416 that divides 32398 without a remainder.

1, 2, 4, 8, 16, 32, 1013, 2026, 4052, 8104, 16208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32398 and 32416. The biggest common factor number is the GCF number.
So the greatest common factor 32398 and 32416 is 2.

Also check out the Least Common Multiple of 32398 and 32416