What is the Greatest Common Factor of 14413 and 14420?

Greatest common factor (GCF) of 14413 and 14420 is 7.

GCF(14413,14420) = 7

We will now calculate the prime factors of 14413 and 14420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14413 and 14420.

How to find the GCF of 14413 and 14420?

We will first find the prime factorization of 14413 and 14420. After we will calculate the factors of 14413 and 14420 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 14420

Prime factors of 14420 are 2, 5, 7, 103. Prime factorization of 14420 in exponential form is:

14420 = 2² × 5¹ × 7¹ × 103¹

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 14420

List of positive integer factors of 14420 that divides 14413 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 103, 140, 206, 412, 515, 721, 1030, 1442, 2060, 2884, 3605, 7210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14413 and 14420. The biggest common factor number is the GCF number.
So the greatest common factor 14413 and 14420 is 7.

Also check out the Least Common Multiple of 14413 and 14420