What is the Greatest Common Factor of 10322 and 10339?

Greatest common factor (GCF) of 10322 and 10339 is 1.

GCF(10322,10339) = 1

We will now calculate the prime factors of 10322 and 10339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10322 and 10339.

How to find the GCF of 10322 and 10339?

We will first find the prime factorization of 10322 and 10339. After we will calculate the factors of 10322 and 10339 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 10339

Prime factors of 10339 are 7, 211. Prime factorization of 10339 in exponential form is:

10339 = 7² × 211¹

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 10339

List of positive integer factors of 10339 that divides 10322 without a remainder.

1, 7, 49, 211, 1477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10322 and 10339. The biggest common factor number is the GCF number.
So the greatest common factor 10322 and 10339 is 1.

Also check out the Least Common Multiple of 10322 and 10339