What is the Greatest Common Factor of 10322 and 10335?

Greatest common factor (GCF) of 10322 and 10335 is 13.

GCF(10322,10335) = 13

We will now calculate the prime factors of 10322 and 10335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10322 and 10335.

How to find the GCF of 10322 and 10335?

We will first find the prime factorization of 10322 and 10335. After we will calculate the factors of 10322 and 10335 and find the biggest common factor number .

Step-1: Prime Factorization of 10322

Prime factors of 10322 are 2, 13, 397. Prime factorization of 10322 in exponential form is:

10322 = 2¹ × 13¹ × 397¹

Step-2: 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-3: Factors of 10322

List of positive integer factors of 10322 that divides 10322 without a remainder.

1, 2, 13, 26, 397, 794, 5161

Step-4: Factors of 10335

List of positive integer factors of 10335 that divides 10322 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10322 and 10335. The biggest common factor number is the GCF number.
So the greatest common factor 10322 and 10335 is 13.

Also check out the Least Common Multiple of 10322 and 10335