What is the Greatest Common Factor of 32386 and 32398?

Greatest common factor (GCF) of 32386 and 32398 is 2.

GCF(32386,32398) = 2

We will now calculate the prime factors of 32386 and 32398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32386 and 32398.

How to find the GCF of 32386 and 32398?

We will first find the prime factorization of 32386 and 32398. After we will calculate the factors of 32386 and 32398 and find the biggest common factor number .

Step-1: Prime Factorization of 32386

Prime factors of 32386 are 2, 16193. Prime factorization of 32386 in exponential form is:

32386 = 2¹ × 16193¹

Step-2: 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-3: Factors of 32386

List of positive integer factors of 32386 that divides 32386 without a remainder.

1, 2, 16193

Step-4: Factors of 32398

List of positive integer factors of 32398 that divides 32386 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32386 and 32398. The biggest common factor number is the GCF number.
So the greatest common factor 32386 and 32398 is 2.

Also check out the Least Common Multiple of 32386 and 32398