What is the Greatest Common Factor of 14303 and 14322?

Greatest common factor (GCF) of 14303 and 14322 is 1.

GCF(14303,14322) = 1

We will now calculate the prime factors of 14303 and 14322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14303 and 14322.

How to find the GCF of 14303 and 14322?

We will first find the prime factorization of 14303 and 14322. After we will calculate the factors of 14303 and 14322 and find the biggest common factor number .

Step-1: Prime Factorization of 14303

Prime factors of 14303 are 14303. Prime factorization of 14303 in exponential form is:

14303 = 14303¹

Step-2: Prime Factorization of 14322

Prime factors of 14322 are 2, 3, 7, 11, 31. Prime factorization of 14322 in exponential form is:

14322 = 2¹ × 3¹ × 7¹ × 11¹ × 31¹

Step-3: Factors of 14303

List of positive integer factors of 14303 that divides 14303 without a remainder.

Step-4: Factors of 14322

List of positive integer factors of 14322 that divides 14303 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 31, 33, 42, 62, 66, 77, 93, 154, 186, 217, 231, 341, 434, 462, 651, 682, 1023, 1302, 2046, 2387, 4774, 7161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14303 and 14322. The biggest common factor number is the GCF number.
So the greatest common factor 14303 and 14322 is 1.

Also check out the Least Common Multiple of 14303 and 14322