What is the Greatest Common Factor of 14420 and 14438?

Greatest common factor (GCF) of 14420 and 14438 is 2.

GCF(14420,14438) = 2

We will now calculate the prime factors of 14420 and 14438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14420 and 14438.

How to find the GCF of 14420 and 14438?

We will first find the prime factorization of 14420 and 14438. After we will calculate the factors of 14420 and 14438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14438

Prime factors of 14438 are 2, 7219. Prime factorization of 14438 in exponential form is:

14438 = 2¹ × 7219¹

Step-3: Factors of 14420

List of positive integer factors of 14420 that divides 14420 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

Step-4: Factors of 14438

List of positive integer factors of 14438 that divides 14420 without a remainder.

1, 2, 7219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14420 and 14438. The biggest common factor number is the GCF number.
So the greatest common factor 14420 and 14438 is 2.

Also check out the Least Common Multiple of 14420 and 14438