What is the Greatest Common Factor of 10338 and 10343?

Greatest common factor (GCF) of 10338 and 10343 is 1.

GCF(10338,10343) = 1

We will now calculate the prime factors of 10338 and 10343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10338 and 10343.

How to find the GCF of 10338 and 10343?

We will first find the prime factorization of 10338 and 10343. After we will calculate the factors of 10338 and 10343 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 10343

Prime factors of 10343 are 10343. Prime factorization of 10343 in exponential form is:

10343 = 10343¹

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 10343

List of positive integer factors of 10343 that divides 10338 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10338 and 10343. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10343 is 1.

Also check out the Least Common Multiple of 10338 and 10343