What is the Greatest Common Factor of 14315 and 14322?

Greatest common factor (GCF) of 14315 and 14322 is 7.

GCF(14315,14322) = 7

We will now calculate the prime factors of 14315 and 14322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14315 and 14322.

How to find the GCF of 14315 and 14322?

We will first find the prime factorization of 14315 and 14322. After we will calculate the factors of 14315 and 14322 and find the biggest common factor number .

Step-1: Prime Factorization of 14315

Prime factors of 14315 are 5, 7, 409. Prime factorization of 14315 in exponential form is:

14315 = 5¹ × 7¹ × 409¹

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 14315

List of positive integer factors of 14315 that divides 14315 without a remainder.

1, 5, 7, 35, 409, 2045, 2863

Step-4: Factors of 14322

List of positive integer factors of 14322 that divides 14315 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 14315 and 14322. The biggest common factor number is the GCF number.
So the greatest common factor 14315 and 14322 is 7.

Also check out the Least Common Multiple of 14315 and 14322