What is the Greatest Common Factor of 14315 and 14329?

Greatest common factor (GCF) of 14315 and 14329 is 7.

GCF(14315,14329) = 7

We will now calculate the prime factors of 14315 and 14329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14315 and 14329.

How to find the GCF of 14315 and 14329?

We will first find the prime factorization of 14315 and 14329. After we will calculate the factors of 14315 and 14329 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 14329

Prime factors of 14329 are 7, 23, 89. Prime factorization of 14329 in exponential form is:

14329 = 7¹ × 23¹ × 89¹

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 14329

List of positive integer factors of 14329 that divides 14315 without a remainder.

1, 7, 23, 89, 161, 623, 2047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14315 and 14329. The biggest common factor number is the GCF number.
So the greatest common factor 14315 and 14329 is 7.

Also check out the Least Common Multiple of 14315 and 14329