What is the Greatest Common Factor of 10368 and 10377?

Greatest common factor (GCF) of 10368 and 10377 is 9.

GCF(10368,10377) = 9

We will now calculate the prime factors of 10368 and 10377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10368 and 10377.

How to find the GCF of 10368 and 10377?

We will first find the prime factorization of 10368 and 10377. After we will calculate the factors of 10368 and 10377 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 10377

Prime factors of 10377 are 3, 1153. Prime factorization of 10377 in exponential form is:

10377 = 3² × 1153¹

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 10377

List of positive integer factors of 10377 that divides 10368 without a remainder.

1, 3, 9, 1153, 3459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10368 and 10377. The biggest common factor number is the GCF number.
So the greatest common factor 10368 and 10377 is 9.

Also check out the Least Common Multiple of 10368 and 10377