What is the Greatest Common Factor of 10338 and 10346?

Greatest common factor (GCF) of 10338 and 10346 is 2.

GCF(10338,10346) = 2

We will now calculate the prime factors of 10338 and 10346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10338 and 10346.

How to find the GCF of 10338 and 10346?

We will first find the prime factorization of 10338 and 10346. After we will calculate the factors of 10338 and 10346 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 10346

Prime factors of 10346 are 2, 7, 739. Prime factorization of 10346 in exponential form is:

10346 = 2¹ × 7¹ × 739¹

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 10346

List of positive integer factors of 10346 that divides 10338 without a remainder.

1, 2, 7, 14, 739, 1478, 5173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10338 and 10346. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10346 is 2.

Also check out the Least Common Multiple of 10338 and 10346