What is the Greatest Common Factor of 32398 and 32412?

Greatest common factor (GCF) of 32398 and 32412 is 2.

GCF(32398,32412) = 2

We will now calculate the prime factors of 32398 and 32412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32398 and 32412.

How to find the GCF of 32398 and 32412?

We will first find the prime factorization of 32398 and 32412. After we will calculate the factors of 32398 and 32412 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 32412

Prime factors of 32412 are 2, 3, 37, 73. Prime factorization of 32412 in exponential form is:

32412 = 2² × 3¹ × 37¹ × 73¹

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 32412

List of positive integer factors of 32412 that divides 32398 without a remainder.

1, 2, 3, 4, 6, 12, 37, 73, 74, 111, 146, 148, 219, 222, 292, 438, 444, 876, 2701, 5402, 8103, 10804, 16206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32398 and 32412. The biggest common factor number is the GCF number.
So the greatest common factor 32398 and 32412 is 2.

Also check out the Least Common Multiple of 32398 and 32412