What is the Greatest Common Factor of 10398 and 10412?

Greatest common factor (GCF) of 10398 and 10412 is 2.

GCF(10398,10412) = 2

We will now calculate the prime factors of 10398 and 10412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10398 and 10412.

How to find the GCF of 10398 and 10412?

We will first find the prime factorization of 10398 and 10412. After we will calculate the factors of 10398 and 10412 and find the biggest common factor number .

Step-1: Prime Factorization of 10398

Prime factors of 10398 are 2, 3, 1733. Prime factorization of 10398 in exponential form is:

10398 = 2¹ × 3¹ × 1733¹

Step-2: Prime Factorization of 10412

Prime factors of 10412 are 2, 19, 137. Prime factorization of 10412 in exponential form is:

10412 = 2² × 19¹ × 137¹

Step-3: Factors of 10398

List of positive integer factors of 10398 that divides 10398 without a remainder.

1, 2, 3, 6, 1733, 3466, 5199

Step-4: Factors of 10412

List of positive integer factors of 10412 that divides 10398 without a remainder.

1, 2, 4, 19, 38, 76, 137, 274, 548, 2603, 5206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10398 and 10412. The biggest common factor number is the GCF number.
So the greatest common factor 10398 and 10412 is 2.

Also check out the Least Common Multiple of 10398 and 10412