What is the Greatest Common Factor of 10335 and 10348?

Greatest common factor (GCF) of 10335 and 10348 is 13.

GCF(10335,10348) = 13

We will now calculate the prime factors of 10335 and 10348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10335 and 10348.

How to find the GCF of 10335 and 10348?

We will first find the prime factorization of 10335 and 10348. After we will calculate the factors of 10335 and 10348 and find the biggest common factor number .

Step-1: Prime Factorization of 10335

Prime factors of 10335 are 3, 5, 13, 53. Prime factorization of 10335 in exponential form is:

10335 = 3¹ × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 10348

Prime factors of 10348 are 2, 13, 199. Prime factorization of 10348 in exponential form is:

10348 = 2² × 13¹ × 199¹

Step-3: Factors of 10335

List of positive integer factors of 10335 that divides 10335 without a remainder.

1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445

Step-4: Factors of 10348

List of positive integer factors of 10348 that divides 10335 without a remainder.

1, 2, 4, 13, 26, 52, 199, 398, 796, 2587, 5174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10335 and 10348. The biggest common factor number is the GCF number.
So the greatest common factor 10335 and 10348 is 13.

Also check out the Least Common Multiple of 10335 and 10348