What is the Greatest Common Factor of 10338 and 10356?

Greatest common factor (GCF) of 10338 and 10356 is 6.

GCF(10338,10356) = 6

We will now calculate the prime factors of 10338 and 10356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10338 and 10356.

How to find the GCF of 10338 and 10356?

We will first find the prime factorization of 10338 and 10356. After we will calculate the factors of 10338 and 10356 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 10356

Prime factors of 10356 are 2, 3, 863. Prime factorization of 10356 in exponential form is:

10356 = 2² × 3¹ × 863¹

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 10356

List of positive integer factors of 10356 that divides 10338 without a remainder.

1, 2, 3, 4, 6, 12, 863, 1726, 2589, 3452, 5178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10338 and 10356. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10356 is 6.

Also check out the Least Common Multiple of 10338 and 10356