What is the Greatest Common Factor of 14413 and 14427?

Greatest common factor (GCF) of 14413 and 14427 is 7.

GCF(14413,14427) = 7

We will now calculate the prime factors of 14413 and 14427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14413 and 14427.

How to find the GCF of 14413 and 14427?

We will first find the prime factorization of 14413 and 14427. After we will calculate the factors of 14413 and 14427 and find the biggest common factor number .

Step-1: Prime Factorization of 14413

Prime factors of 14413 are 7, 29, 71. Prime factorization of 14413 in exponential form is:

14413 = 7¹ × 29¹ × 71¹

Step-2: Prime Factorization of 14427

Prime factors of 14427 are 3, 7, 229. Prime factorization of 14427 in exponential form is:

14427 = 3² × 7¹ × 229¹

Step-3: Factors of 14413

List of positive integer factors of 14413 that divides 14413 without a remainder.

1, 7, 29, 71, 203, 497, 2059

Step-4: Factors of 14427

List of positive integer factors of 14427 that divides 14413 without a remainder.

1, 3, 7, 9, 21, 63, 229, 687, 1603, 2061, 4809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14413 and 14427. The biggest common factor number is the GCF number.
So the greatest common factor 14413 and 14427 is 7.

Also check out the Least Common Multiple of 14413 and 14427