What is the Greatest Common Factor of 14322 and 14333?

Greatest common factor (GCF) of 14322 and 14333 is 11.

GCF(14322,14333) = 11

We will now calculate the prime factors of 14322 and 14333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14322 and 14333.

How to find the GCF of 14322 and 14333?

We will first find the prime factorization of 14322 and 14333. After we will calculate the factors of 14322 and 14333 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14333

Prime factors of 14333 are 11, 1303. Prime factorization of 14333 in exponential form is:

14333 = 11¹ × 1303¹

Step-3: Factors of 14322

List of positive integer factors of 14322 that divides 14322 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

Step-4: Factors of 14333

List of positive integer factors of 14333 that divides 14322 without a remainder.

1, 11, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14322 and 14333. The biggest common factor number is the GCF number.
So the greatest common factor 14322 and 14333 is 11.

Also check out the Least Common Multiple of 14322 and 14333