What is the Greatest Common Factor of 10368 and 10386?

Greatest common factor (GCF) of 10368 and 10386 is 18.

GCF(10368,10386) = 18

We will now calculate the prime factors of 10368 and 10386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10368 and 10386.

How to find the GCF of 10368 and 10386?

We will first find the prime factorization of 10368 and 10386. After we will calculate the factors of 10368 and 10386 and find the biggest common factor number .

Step-1: Prime Factorization of 10368

Prime factors of 10368 are 2, 3. Prime factorization of 10368 in exponential form is:

10368 = 2⁷ × 3⁴

Step-2: Prime Factorization of 10386

Prime factors of 10386 are 2, 3, 577. Prime factorization of 10386 in exponential form is:

10386 = 2¹ × 3² × 577¹

Step-3: Factors of 10368

List of positive integer factors of 10368 that divides 10368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 288, 324, 384, 432, 576, 648, 864, 1152, 1296, 1728, 2592, 3456, 5184

Step-4: Factors of 10386

List of positive integer factors of 10386 that divides 10368 without a remainder.

1, 2, 3, 6, 9, 18, 577, 1154, 1731, 3462, 5193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10368 and 10386. The biggest common factor number is the GCF number.
So the greatest common factor 10368 and 10386 is 18.

Also check out the Least Common Multiple of 10368 and 10386