What is the Greatest Common Factor of 10338 and 10350?

Greatest common factor (GCF) of 10338 and 10350 is 6.

GCF(10338,10350) = 6

We will now calculate the prime factors of 10338 and 10350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10338 and 10350.

How to find the GCF of 10338 and 10350?

We will first find the prime factorization of 10338 and 10350. After we will calculate the factors of 10338 and 10350 and find the biggest common factor number .

Step-1: Prime Factorization of 10338

Prime factors of 10338 are 2, 3, 1723. Prime factorization of 10338 in exponential form is:

10338 = 2¹ × 3¹ × 1723¹

Step-2: 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-3: Factors of 10338

List of positive integer factors of 10338 that divides 10338 without a remainder.

1, 2, 3, 6, 1723, 3446, 5169

Step-4: Factors of 10350

List of positive integer factors of 10350 that divides 10338 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10338 and 10350. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10350 is 6.

Also check out the Least Common Multiple of 10338 and 10350