What is the Greatest Common Factor of 10338 and 10342?

Greatest common factor (GCF) of 10338 and 10342 is 2.

GCF(10338,10342) = 2

We will now calculate the prime factors of 10338 and 10342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10338 and 10342.

How to find the GCF of 10338 and 10342?

We will first find the prime factorization of 10338 and 10342. After we will calculate the factors of 10338 and 10342 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 10342

Prime factors of 10342 are 2, 5171. Prime factorization of 10342 in exponential form is:

10342 = 2¹ × 5171¹

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 10342

List of positive integer factors of 10342 that divides 10338 without a remainder.

1, 2, 5171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10338 and 10342. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10342 is 2.

Also check out the Least Common Multiple of 10338 and 10342