What is the Greatest Common Factor of 14415 and 14420?

Greatest common factor (GCF) of 14415 and 14420 is 5.

GCF(14415,14420) = 5

We will now calculate the prime factors of 14415 and 14420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14415 and 14420.

How to find the GCF of 14415 and 14420?

We will first find the prime factorization of 14415 and 14420. After we will calculate the factors of 14415 and 14420 and find the biggest common factor number .

Step-1: Prime Factorization of 14415

Prime factors of 14415 are 3, 5, 31. Prime factorization of 14415 in exponential form is:

14415 = 3¹ × 5¹ × 31²

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 14415

List of positive integer factors of 14415 that divides 14415 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465, 961, 2883, 4805

Step-4: Factors of 14420

List of positive integer factors of 14420 that divides 14415 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 14415 and 14420. The biggest common factor number is the GCF number.
So the greatest common factor 14415 and 14420 is 5.

Also check out the Least Common Multiple of 14415 and 14420