What is the Greatest Common Factor of 10338 and 10358?

Greatest common factor (GCF) of 10338 and 10358 is 2.

GCF(10338,10358) = 2

We will now calculate the prime factors of 10338 and 10358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10338 and 10358.

How to find the GCF of 10338 and 10358?

We will first find the prime factorization of 10338 and 10358. After we will calculate the factors of 10338 and 10358 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 10358

Prime factors of 10358 are 2, 5179. Prime factorization of 10358 in exponential form is:

10358 = 2¹ × 5179¹

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 10358

List of positive integer factors of 10358 that divides 10338 without a remainder.

1, 2, 5179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10338 and 10358. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10358 is 2.

Also check out the Least Common Multiple of 10338 and 10358