What is the Greatest Common Factor of 10350 and 10368?

Greatest common factor (GCF) of 10350 and 10368 is 18.

GCF(10350,10368) = 18

We will now calculate the prime factors of 10350 and 10368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10350 and 10368.

How to find the GCF of 10350 and 10368?

We will first find the prime factorization of 10350 and 10368. After we will calculate the factors of 10350 and 10368 and find the biggest common factor number .

Step-1: Prime Factorization of 10350

Prime factors of 10350 are 2, 3, 5, 23. Prime factorization of 10350 in exponential form is:

10350 = 2¹ × 3² × 5² × 23¹

Step-2: Prime Factorization of 10368

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

10368 = 2⁷ × 3⁴

Step-3: Factors of 10350

List of positive integer factors of 10350 that divides 10350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 138, 150, 207, 225, 230, 345, 414, 450, 575, 690, 1035, 1150, 1725, 2070, 3450, 5175

Step-4: Factors of 10368

List of positive integer factors of 10368 that divides 10350 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10350 and 10368. The biggest common factor number is the GCF number.
So the greatest common factor 10350 and 10368 is 18.

Also check out the Least Common Multiple of 10350 and 10368