What is the Greatest Common Factor of 14315 and 14320?

Greatest common factor (GCF) of 14315 and 14320 is 5.

GCF(14315,14320) = 5

We will now calculate the prime factors of 14315 and 14320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14315 and 14320.

How to find the GCF of 14315 and 14320?

We will first find the prime factorization of 14315 and 14320. After we will calculate the factors of 14315 and 14320 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 14320

Prime factors of 14320 are 2, 5, 179. Prime factorization of 14320 in exponential form is:

14320 = 2⁴ × 5¹ × 179¹

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 14320

List of positive integer factors of 14320 that divides 14315 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 179, 358, 716, 895, 1432, 1790, 2864, 3580, 7160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14315 and 14320. The biggest common factor number is the GCF number.
So the greatest common factor 14315 and 14320 is 5.

Also check out the Least Common Multiple of 14315 and 14320